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Full-Text Articles in Physical Sciences and Mathematics

A Modified Two-Degree Of Freedom-Internal Model Control Configuration For Load Frequency Control Of A Single Area Power System, Bheem Sonker, Deepak Kumar, Paulson Samuel Jan 2017

A Modified Two-Degree Of Freedom-Internal Model Control Configuration For Load Frequency Control Of A Single Area Power System, Bheem Sonker, Deepak Kumar, Paulson Samuel

Turkish Journal of Electrical Engineering and Computer Sciences

In this paper, we propose a modified two degree-of-freedom internal model control structure, with dual feedback loop configuration for the load frequency control problem of a single-area power system. Our main objective is to achieve better transient and steady state performance. The predictive model of the proposed configuration is derived through the stability equation method, which preserves the stability of the model. The proposed scheme is simulated for a single-area power system with nonreheated turbine and 50% parametric uncertainty. It is observed from the responses and the performance indices that the proposed control configuration gives better results compared to well-known …


Power Search Algorithm (Psa) For Combined Economic-Emission Dispatch Problems Considering Valve Point Effects In Economic Load Dispatch, Prakash Arumugam, Ravichandran Coimbatore Subramanian Jan 2017

Power Search Algorithm (Psa) For Combined Economic-Emission Dispatch Problems Considering Valve Point Effects In Economic Load Dispatch, Prakash Arumugam, Ravichandran Coimbatore Subramanian

Turkish Journal of Electrical Engineering and Computer Sciences

Economic load dispatch has become the prime and major concern in power system networks. Use of nonrenewable fuels as an input to power systems results in toxic gas emission and depletion of resources for future generations. Allocation of optimal power to generators serves as a solution to this issue. The suggested power search algorithm (PSA) is a novel solution for the reduction of the fuel cost, emissions, and power loss. This algorithm searches its solution inside the search space from minimum to maximum in case of forward search. The global optimum solution is obtained with much less execution time compared …


Markovian Model For Reliability Assessment Of Microgrids Considering Load Transfer Restriction, Mohammad Almuhaini, Abdulrahman Al-Sakkaf Jan 2017

Markovian Model For Reliability Assessment Of Microgrids Considering Load Transfer Restriction, Mohammad Almuhaini, Abdulrahman Al-Sakkaf

Turkish Journal of Electrical Engineering and Computer Sciences

Reliability is an indispensable factor in power system design and operation and has a significant impact on grid safety and economy. Future power distribution systems are expected to be more sophisticated, owing to the increasing penetration of renewable resources and adoption of advanced information and communication technologies. Extant studies in this field tend to focus on the modeling and assessment of the reliability of future microgrid distribution systems, including distributed generation, without considering networked configuration and limited transfer capacity. In the work presented in this paper, a Markov model is implemented to perform a practical and accurate reliability evaluation of …


Optimal Reactive Power Flow In Bdfms For Converter Cost Reduction And Efficiency Improvement, Behzad Jandaghi, Hamed Gorginpour, Mohammad Naser Hashemnia, Hashem Oraee Jan 2017

Optimal Reactive Power Flow In Bdfms For Converter Cost Reduction And Efficiency Improvement, Behzad Jandaghi, Hamed Gorginpour, Mohammad Naser Hashemnia, Hashem Oraee

Turkish Journal of Electrical Engineering and Computer Sciences

A brushless doubly fed machine is equipped with two decoupled windings on its stator, known as the power winding and the control winding. The power winding reactive power can be controlled by voltage amplitude fed by the machine-side converter to the control winding, affecting both the converter size and machine efficiency. This paper investigates different proposed scenarios for optimal reactive power flow targeted to minimize the converter cost and maximize the machine efficiency. Previously, the grid-side converter has not been used for reactive power compensation. However, in the present paper it is shown how the grid-side converter can be effectively …


Design Optimization Of Distribution Transformers With Nature-Inspired Metaheuristics: A Comparative Analysis, Levent Alhan, Nejat Yumuşak Jan 2017

Design Optimization Of Distribution Transformers With Nature-Inspired Metaheuristics: A Comparative Analysis, Levent Alhan, Nejat Yumuşak

Turkish Journal of Electrical Engineering and Computer Sciences

Many economies in the world have adopted energy-efficiency requirements or incentive programs mandating or promoting the use of energy-efficient transformers. On the other hand, increases in transformer efficiency are subject to increases in transformer weight and size, sometimes as much as 50% or more. The transformer manufacturing industry is therefore faced with the challenge to develop truly optimum designs. Transformer design optimization (TDO) is a mixed-integer nonlinear programming problem having a complex and discontinuous objective function and constraints, with the objective of detailed calculation of the characteristics of a transformer based on national and/or international standards and transformer user requirements, …


Calculation Of Current Limiting Reactance Of Hybrid Sfcl For Low Voltage Ride-Through Capability Enhancement In Dfig Wind Farms, Sillawat Romphochai, Komsan Hongesombut Jan 2017

Calculation Of Current Limiting Reactance Of Hybrid Sfcl For Low Voltage Ride-Through Capability Enhancement In Dfig Wind Farms, Sillawat Romphochai, Komsan Hongesombut

Turkish Journal of Electrical Engineering and Computer Sciences

This paper presents a new approach for the low voltage ride-through capability enhancement of doubly-fed induction generator (DFIG) wind farms using a hybrid superconducting fault current limiter (SFCL) of the first peak current limiting type, which has the advantage of a fast recovery time. A design for the hybrid SFCL, focusing on current limiting reactor (CLR) reactance calculation, is proposed in this paper to determine an appropriate value for the CLR reactance that satisfies the grid code requirements of the DFIG wind turbines. High-temperature superconductors (HTS) such as Bi-2212, YBCO, Bi-2223, Ti-2223, and Hg-1223 are investigated for use in the …


A Cooperative Neural Network Approach For Enhancing Data Traffic Prediction, Salihu Aish Abdulkarim, Isa Abdullahi Lawal Jan 2017

A Cooperative Neural Network Approach For Enhancing Data Traffic Prediction, Salihu Aish Abdulkarim, Isa Abdullahi Lawal

Turkish Journal of Electrical Engineering and Computer Sciences

This paper addresses the problem of learning a regression model for the prediction of data traffic in a cellular network. We proposed a cooperative learning strategy that involves two Jordan recurrent neural networks (JNNs) trained using the firefly algorithm (FFA) and resilient backpropagation algorithm (Rprop), respectively. While the cooperative capability of the learning process ensures the effectiveness of the regression model, the recurrent nature of the neural networks allows the model to handle temporally evolving data. Experiments were carried out to evaluate the proposed approach using high-speed downlink packet access data demand and throughput measurements collected from different cell sites …


Proposing A New Clustering Method To Detect Phishing Websites, Morteza Arab, Mohammad Karim Sohrabi Jan 2017

Proposing A New Clustering Method To Detect Phishing Websites, Morteza Arab, Mohammad Karim Sohrabi

Turkish Journal of Electrical Engineering and Computer Sciences

Phishing websites are fake ones that are developed by ill-intentioned people to imitate real and legal websites. Most of these types of web pages have high visual similarities to hustle the victims. The victims of phishing websites may give their bank accounts, passwords, credit card numbers, and other important information to the designers and owners of phishing websites. The increasing number of phishing websites has become a great challenge in e-business in general and in electronic banking specifically. In the present study, a novel framework based on model-based clustering is introduced to fight against phishing websites. First, a model is …


A Novel Empirical Sir-To-Cqi Mapping Rule For Dc-Hsdpa Systems, Çeti̇n Kurnaz, Begüm Korunur Engi̇z, Murat Oğuz Esenalp Jan 2017

A Novel Empirical Sir-To-Cqi Mapping Rule For Dc-Hsdpa Systems, Çeti̇n Kurnaz, Begüm Korunur Engi̇z, Murat Oğuz Esenalp

Turkish Journal of Electrical Engineering and Computer Sciences

This study aims to determine the mapping rule for signal-to-interference ratio (SIR) to channel quality indicator (CQI) based on DC-HSDPA real field measurements. The measurements were performed using the TEMS Investigation Tool at 85 different propagation mediums. The measurement results showed that the SIR-to-CQI mapping methods in the literature were insufficient to characterize actual radio environments; thus, proposal of a new empirical SIR-to-CQI mapping rule was aimed. This rule provides substantially better performance than the existing methods, and with this rule CQI can be generated from SIR with an accuracy of around 90% for DC-HSDPA systems.


A Predictive Modeling Approach For Improving Paddy Crop Productivity Using Data Mining Techniques, Anitha Arumugam Jan 2017

A Predictive Modeling Approach For Improving Paddy Crop Productivity Using Data Mining Techniques, Anitha Arumugam

Turkish Journal of Electrical Engineering and Computer Sciences

Agriculture has a great impact on the economy of developing countries. To provide food security for people, there is a need for improving the productivity of major crops. Rapidly changing climatic conditions and the cost of investment in agriculture are major barriers for small-holder farmers. The proposed research aims to develop a predictive model that provides a cultivation plan for farmers to get high yield of paddy crops using data mining techniques. Unlike statistical approaches, data mining techniques extract hidden knowledge through data analysis. The data set used in this research for mining process is real data collected from farmers …


Discovering The Relationships Between Yarn And Fabric Properties Using Association Rule Mining, Peli̇n Yildirim, Derya Bi̇rant, Tuba Alpyildiz Jan 2017

Discovering The Relationships Between Yarn And Fabric Properties Using Association Rule Mining, Peli̇n Yildirim, Derya Bi̇rant, Tuba Alpyildiz

Turkish Journal of Electrical Engineering and Computer Sciences

Investigation of the effects of yarn parameters on fabric quality and finding important parameters to achieve desired fabric properties are important issues for the design process with the aim to meet the needs of the textile industry and the consumer for complex and specific requirements of functionality. Despite many statistical and mathematical studies that predict and reveal specific properties of utilized yarn and fabric materials, a number of challenges continue to exist when evaluated in many perspectives, such as discovering complex relationships among material properties in data. Data mining plays an important role in discovering hidden patterns from fabric data …


A Probabilistic Scenario-Based Framework For Solving Stochastic Dynamic Economic Emission Dispatch With Unit Commitment, Yachao Zhang, Kaipei Liu, Xiaobing Liao, Liang Qin, Xueli An Jan 2017

A Probabilistic Scenario-Based Framework For Solving Stochastic Dynamic Economic Emission Dispatch With Unit Commitment, Yachao Zhang, Kaipei Liu, Xiaobing Liao, Liang Qin, Xueli An

Turkish Journal of Electrical Engineering and Computer Sciences

This paper establishes a probabilistic scenario-based framework for the stochastic dynamic economic emission dispatch with unit commitment (SDEED-UC) problem, by considering wind power integration. The scenario generation and reduction method are implemented to describe wind power uncertainty. Accordingly, each wind power scenario is analyzed separately to determine the on/off status of the units. As for a predetermined significance level, the UC scheduling solution can be obtained with a probabilistic point of view, considering all the original scenarios. Then the SDEED problem is converted into a number of deterministic scheduling problems. For each scenario in the reduced set, an enhanced multiobjective …


Stock Daily Return Prediction Using Expanded Features And Feature Selection, Hakan Gündüz, Zehra Çataltepe, Yusuf Yaslan Jan 2017

Stock Daily Return Prediction Using Expanded Features And Feature Selection, Hakan Gündüz, Zehra Çataltepe, Yusuf Yaslan

Turkish Journal of Electrical Engineering and Computer Sciences

Stock market prediction is a very noisy problem and the use of any additional information to increase accuracy is necessary. In this paper, for the stock daily return prediction problem, the set of features is expanded to include indicators not only for the stock to be predicted itself but also a set of other stocks and currencies. Afterwards, different feature selection and classification methods are utilized for prediction. The daily close returns of the 3 most traded stocks (GARAN, THYAO, and ISCTR) in Borsa İstanbul (BIST) are predicted using indicators computed on those stocks, indicators for all the other stocks …


Ann-Based Shepwm Using A Harmony Search On A New Multilevel Inverter Topology, Fayçal Chabni, Rachid Taleb, M'Hamed Helaimi Jan 2017

Ann-Based Shepwm Using A Harmony Search On A New Multilevel Inverter Topology, Fayçal Chabni, Rachid Taleb, M'Hamed Helaimi

Turkish Journal of Electrical Engineering and Computer Sciences

This article presents the application of the harmony search (HS) optimization algorithm for selective harmonic elimination PWM (SHEPWM) in a new topology of multilevel inverters with reduced number of electronic switching elements. The main objective of the harmonic elimination strategy is eliminating undesired low-rank harmonics in order to improve the quality of the output waveform. The harmonic elimination strategy is achieved by solving a system of nonlinear equations. In this paper harmony search optimization is applied using artificial neural networks (ANNs) on a new 21-level inverter topology. The algorithm is based on a music improvisation process. MATLAB programming software is …


New Patterson-Wiedemann Type Functions With 15 Variables In The Generalized Rotation-Symmetric Class, Selçuk Kavut Jan 2017

New Patterson-Wiedemann Type Functions With 15 Variables In The Generalized Rotation-Symmetric Class, Selçuk Kavut

Turkish Journal of Electrical Engineering and Computer Sciences

Recently, it was shown that there is no Boolean function on 15 variables with nonlinearity greater than 16276 in the class of functions that are invariant under the action of GF(2$^{3})^{\ast }\times GF(2^{5})^{\ast }$. In this study, we consider some important subsets of this class and perform an efficient enumeration of the 15-variable Patterson-Wiedemann (PW) type functions with nonlinearity greater than the bent concatenation bound 16256 in the generalized classes of both 3-RSBFs and 5-RSBFs for which the corresponding search spaces are 2$^{28.2}$ and 2$^{47.85}$, respectively. For the case of 3-RSBFs, we find that there are 32 functions with nonlinearity …


Low-Power Voltage To A Frequency-Based Smart Temperature Sensor With +0.8/-0.75 $^{\Circ}$C Accuracy For -55 $^{\Circ}$C To 125 $^{\Circ}$C, Mudasir Bashir, Sreehari Rao Patri, Krishna Prasad Jan 2017

Low-Power Voltage To A Frequency-Based Smart Temperature Sensor With +0.8/-0.75 $^{\Circ}$C Accuracy For -55 $^{\Circ}$C To 125 $^{\Circ}$C, Mudasir Bashir, Sreehari Rao Patri, Krishna Prasad

Turkish Journal of Electrical Engineering and Computer Sciences

The high power densities in system-on-chips demand accurate, low power, and compact smart temperatures for thermal monitoring. In this paper, a low-power CMOS-based smart temperature sensor, operating in the subthreshold region, for military applications (-55 $^{\circ}$C to 125 $^{\circ}$C) is presented. The sensor exploits the thermal dependency of the threshold voltage of MOS transistors to generate a voltage proportional to absolute temperature ($V_{PTAT})$. A frequency locked loop technique is employed to generate frequency from $V_{PTAT}$. The frequency variation due to temperature is measured by counting the rising edge with an asynchronous 12-bit counter. The large die area and requirement of …


A Novel Hybrid Approach Based On A Chaotic Cloud Gravitational Search Algorithm To Complicated Image Template Matching, Weijia Cui, Yuzhu He Jan 2017

A Novel Hybrid Approach Based On A Chaotic Cloud Gravitational Search Algorithm To Complicated Image Template Matching, Weijia Cui, Yuzhu He

Turkish Journal of Electrical Engineering and Computer Sciences

Template matching is the process of accurately extracting the interesting regions in a source image according to reference templates. In this paper, the gravitational search algorithm (GSA) is employed as a novel search strategy for template matching. However, the basic GSA is easily trapped in a local optimum and has a poor exploitation ability. In this paper, to enhance the optimization performance of GSA, a novel cross-search strategy based on chaotic global search (CGS) and cloud local search (CLS) is incorporated into GSA. The new variant is named chaotic cloud GSA (CCGSA). CGS makes full use of the ergodicity of …


Probabilistic Day-Ahead System Marginal Price Forecasting With Ann For The Turkish Electricity Market, Erdem Özgüner, Osman Bülent Tör, Ali̇ Nezi̇h Güven Jan 2017

Probabilistic Day-Ahead System Marginal Price Forecasting With Ann For The Turkish Electricity Market, Erdem Özgüner, Osman Bülent Tör, Ali̇ Nezi̇h Güven

Turkish Journal of Electrical Engineering and Computer Sciences

This study presents a system day-ahead hourly market clearing price forecasting tool for the day-ahead (DA) market and a system DA hourly marginal price forecasting tool for the real-time market of the Turkish electric market (TEM). These forecasting tools are developed based on artificial neural networks (ANNs). A series of historical price data of the TEM are utilized to model and optimize the ANN structure and to develop the ANN-based price forecasting tool. The methodology used to select the optimum ANN architecture provides the minimum daily mean absolute percentage error for both day-ahead market prices in the TEM. Performances of …


New Inequalities For Fractional Integrals And Their Applications, Hsiow Ru Hwang, Kuei Lin Tseng, Kai Chen Hsu Jan 2016

New Inequalities For Fractional Integrals And Their Applications, Hsiow Ru Hwang, Kuei Lin Tseng, Kai Chen Hsu

Turkish Journal of Mathematics

In this paper, we establish some Hermite--Hadamard-type, Bullen-type, and Simpson-type inequalities for fractional integrals. Some applications for the beta function are also given.


On Algebraic Properties Of Veronese Bi-Type Ideals Arising From Graphs, Maurizio Imbesi, Monica La Barbiera Jan 2016

On Algebraic Properties Of Veronese Bi-Type Ideals Arising From Graphs, Maurizio Imbesi, Monica La Barbiera

Turkish Journal of Mathematics

Some algebraic properties of the ideals of Veronese bi-type arising from graphs with loops are studied. More precisely, the property of these ideals to be bi-polymatroidal is discussed. Moreover, we are able to determine the structure of the ideals of vertex covers for such generalized graph ideals.


A Note On Reduction Numbers And Hilbert-Samuel Functions Of Ideals Over Cohen-Macaulay Rings, Amir Mafi, Dler Naderi Jan 2016

A Note On Reduction Numbers And Hilbert-Samuel Functions Of Ideals Over Cohen-Macaulay Rings, Amir Mafi, Dler Naderi

Turkish Journal of Mathematics

Let $(R,\fm)$ be a Cohen--Macaulay local ring of dimension $d\geq 2$ with infinite residue field and $I$ an $\fm$-primary ideal of $R$. Let $I$ be integrally closed and $J$ be a minimal reduction of $I$. In this paper, we show that the following are equivalent: $(i)$ $P_I(n)=H_I(n)$ for $n=1,2$; $(ii)$ $P_I(n)=H_I(n)$ for all $n\geq 1$; $(iii)$ $I^3=JI^2$. Moreover, if $\Dim R=3$, $n(I)\leq 1$ and $\grade gr_I(R)_+>0$, then the reduction number $r(I)$ is independent.


Sharp Bounds For The First Nonzero Steklov Eigenvalues For$F$-Laplacians, Guangyue Huang, Bingqing Ma Jan 2016

Sharp Bounds For The First Nonzero Steklov Eigenvalues For$F$-Laplacians, Guangyue Huang, Bingqing Ma

Turkish Journal of Mathematics

Let $M$ be an $n$-dimensional compact Riemannian manifold with a boundary. In this paper, we consider the Steklov first eigenvalue with respect to the $f$-divergence form: $$ e^{f}{\rm div}(e^{-f}A\nabla u)=0\ {\rm in}\ \ M, \ \ \ \ \ \langle A(\nabla u),\nu\rangle-\eta u=0 \ \ {\rm on}\ \partial M,$$ where $A$ is a smooth symmetric and positive definite endomorphism of $TM$, and the following three fourth order Steklov eigenvalue problems: $$ (\Delta_f)^2u=0\ \ {\rm in}\ M, \ \ \ \ \ u=\Delta_f u-q\frac{\partial u}{\partial \nu}=0\ \ {\rm on}\ \partial M; $$ $$ (\Delta_f)^2u=0\ {\rm in}\ \ M, \ \ \ …


A Remark On Singularity Of Homeomorphisms And Hausdorff Dimension, Chun Wei, Shengyou Wen Jan 2016

A Remark On Singularity Of Homeomorphisms And Hausdorff Dimension, Chun Wei, Shengyou Wen

Turkish Journal of Mathematics

We prove that there is a homeomorphism of the unit interval onto itself that is so singular that it maps some set $E$ of $\dim_HE=0$ onto a set $F$ of $\dim_H[0,1]\setminus F=0$.


A Lower Bound For Stanley Depth Of Squarefree Monomial Ideals, Guangjun Zhu Jan 2016

A Lower Bound For Stanley Depth Of Squarefree Monomial Ideals, Guangjun Zhu

Turkish Journal of Mathematics

Let $S=K[x_{1},\dots,x_{n}]$ be a polynomial ring over a field $K$ in $n$ variables and $I$ a squarefree monomial ideal of $S$ with Schmitt--Vogel number $sv(I)$. In this paper, we show that $\mbox{sdepth}\,(I)\geq \mbox{max}\,\{1, n-1-\lfloor \frac{sv(I)}{2}\rfloor\},$ which improves the lower bound obtained by Herzog, Vladoiu, and Zheng. As some applications, we show that Stanley's conjecture holds for the edge ideals of some special $n$-cyclic graphs with a common edge.


Idempotents Of The Green Algebras Of Finite Dimensionalpointed Rank One Hopf Algebras Of Nilpotent Type, Zhihua Wang Jan 2016

Idempotents Of The Green Algebras Of Finite Dimensionalpointed Rank One Hopf Algebras Of Nilpotent Type, Zhihua Wang

Turkish Journal of Mathematics

In this paper, we intend to study idempotents of the Green algebra (complexified Green ring) of any finite dimensional pointed rank one Hopf algebra of nilpotent type over the complex number field. We first determine all one dimensional representations of the quotient algebra of the Green algebra modulo its Jacobson radical. This gives rise to all primitive idempotents of the quotient algebra. Then we present explicitly primitive idempotents of the Green algebra by lifting the ones of the quotient algebra. Finally, as an example, we describe all primitive idempotents of the Green algebra of the Taft algebra $T_3$.


Simulations Of The Helmholtz Equation At Any Wave Number For Adaptive Grids Using A Modified Central Finite Difference Scheme, Hafiz Abdul Wajid Jan 2016

Simulations Of The Helmholtz Equation At Any Wave Number For Adaptive Grids Using A Modified Central Finite Difference Scheme, Hafiz Abdul Wajid

Turkish Journal of Mathematics

In this paper, a modified central finite difference scheme for a three-point nonuniform grid is presented for the one-dimensional homogeneous Helmholtz equation using the Bloch wave property. The modified scheme provides highly accurate solutions at the nodes of the nonuniform grid for very small to very large range of wave numbers irrespective of how the grid is adapted throughout the domain. A variety of numerical examples are considered to validate the superiority of the modified scheme for a nonuniform grid over a standard central finite difference scheme.


A New Aspect To Picard Operators With Simulation Functions, Murat Olgun, Tuğçe Alyildiz, Özge Bi̇çer Jan 2016

A New Aspect To Picard Operators With Simulation Functions, Murat Olgun, Tuğçe Alyildiz, Özge Bi̇çer

Turkish Journal of Mathematics

In the present paper, considering the simulation function, we give a new class of Picard operators on complete metric spaces. We also provide a nontrivial example that shows the aforementioned class properly contains some earlier such classes.


On The Zero-Divisor Graphs Of Finite Free Semilattices, Kemal Toker Jan 2016

On The Zero-Divisor Graphs Of Finite Free Semilattices, Kemal Toker

Turkish Journal of Mathematics

Let $SL_{X}$ be the free semilattice on a finite nonempty set $X$. There exists an undirected graph $\Gamma(SL_{X})$ associated with $SL_{X}$ whose vertices are the proper subsets of $X$, except the empty set, and two distinct vertices $A$ and $B$ of $\Gamma(SL_{X})$ are adjacent if and only if $A\cup B=X$. In this paper, the diameter, radius, girth, degree of any vertex, domination number, independence number, clique number, chromatic number, and chromatic index of $\Gamma(SL_{X})$ have been established. Moreover, we have determined when $\Gamma(SL_{X})$ is a perfect graph and when the core of $\Gamma(SL_{X})$ is a Hamiltonian graph.


New Oscillation Tests And Some Refinements For First-Order Delay Dynamic Equations, Başak Karpuz, Özkan Öcalan Jan 2016

New Oscillation Tests And Some Refinements For First-Order Delay Dynamic Equations, Başak Karpuz, Özkan Öcalan

Turkish Journal of Mathematics

In this paper, we present new sufficient conditions for the oscillation of first-order delay dynamic equations on time scales. We also present some examples to which none of the previous results in the literature can apply.


Veronese Transform And Castelnuovo-Mumford Regularity Of Modules, Marcel Morales, Nguyen Thi Dung Jan 2016

Veronese Transform And Castelnuovo-Mumford Regularity Of Modules, Marcel Morales, Nguyen Thi Dung

Turkish Journal of Mathematics

Veronese rings, Segre embeddings, or more generally Segre--Veronese embeddings are very important rings in algebraic geometry. In this paper we present an original, elementary way to compute the Hilbert--Poincar\'e series of these rings; as a consequence we compute their Castelnuovo--Mumford regularity and also the highest graded Betti number. Moreover, using the Castelnuovo--Mumford regularity of a Cohen--Macaulay finitely generated graded module, we compute that of its Veronese transforms.