Physical Sciences and Mathematics Commons^™

$\V\W$-Gorenstein Categories, Guoqiang Zhao, Juxiang Sun

Turkish Journal of Mathematics

Let $\A$ be an abelian category, and $\V$,$\W$ two additive full subcategories of $\A$. We introduce and study the $\V\W$-Gorenstein subcategory of $\A$, which unifies many known notions, such as the Gorenstein category and the category consisting of $G_C$-projective (injective) modules, although they were defined in a different way. We also prove that the Bass class with respect to a semidualizing module is one kind of $\V\W$-Gorenstein category. The connections between $\V\W$-Gorenstein categories and Gorenstein categories are discussed. Some applications are given.

On The Extended Zero Divisor Graph Of Commutative Rings, Driss Bennis, Jilali Mikram, Fouad Taraza

Turkish Journal of Mathematics

In this paper we present a new graph that is closely related to the classical zero-divisor graph. In our case two nonzero distinct zero divisors $x$ and $y$ of a commutative ring $R$ are adjacent whenever there exist two nonnegative integers $n$ and $m$ such that $x^ny^m=0$ with $x^n\neq 0$ and $y^m\neq 0$. This yields an extension of the classical zero divisor graph $\Gamma(R)$ of $R$, which will be denoted by $\overline{\Gamma}(R)$. First we distinguish when $\overline{\Gamma}(R)$ and $\Gamma(R)$ coincide. Various examples in this context are given. We show that if $\overline{\Gamma}(R) \not=\Gamma(R)$, then $\overline{\Gamma}(R)$ must contain a cycle. We …

The M[--] And --[M] Functors And Five Short Lemma In $H_V$-Modules, Yaser Vaziri, Mansour Ghadiri, Bijan Davvaz

Turkish Journal of Mathematics

The largest class of multivalued systems satisfying the module-like axioms are the $H_v$-modules. The main tools concerning the class of $H_v$-modules with the ordinary modules are the fundamental relations. Based on the relation $\varepsilon^*$, exact sequences in $H_v$-modules are defined. In this paper, we introduce the $H_v$-module $M[A]$ and determine its heart and the connection between equivalence relations $\varepsilon^*_{M[A]}$ and $\varepsilon^*_A$. Moreover, we define the $M[-]$ and $-[M]$ functors and investigate the exactness and some concepts related to them. Finally, we prove the five short lemma in $H_v$-modules.

Some Results And Examples On Difference Cordial Graphs, Mohammed Seoud, Shakir Salman

Turkish Journal of Mathematics

In this paper we introduce some results on difference cordial graphs and describe the difference cordial labeling for some families of graphs.

Quadraticeigenparameter-Dependent Quantum Difference Equations, Yelda Aygar Küçükevci̇li̇oğlu

Turkish Journal of Mathematics

The main aim of this paper is to construct quantum extension of the discrete Sturm--Liouville equation consisting of second-order difference equation and boundary conditions that depend on a quadratic eigenvalue parameter. We consider a boundary value problem (BVP) consisting of a second-order quantum difference equation and boundary conditions that depend on the quadratic eigenvalue parameter. We present a condition that guarantees that this BVP has a finite number of eigenvalues and spectral singularities with finite multiplicities.

G-Frames For Operators In Hilbert $C^{\Ast}$-Modules, Zhongqi Xiang, Yongming Li

Turkish Journal of Mathematics

We present a generalization of g-frames related to an adjointable operator $K$ on a Hilbert $C^{\ast}$-module, which we call $K$-g-frames. We obtain several characterizations of $K$-g-frames and we also give conditions under which the removal of an element from a $K$-g-frame leaves again a $K$-g-frame. In addition, we define a concept of dual, and using it we study the relation between a $K$-g-frame and a g-Bessel sequence with respect to different sequences of Hilbert $C^{\ast}$-modules.

On A Question About Almost Prime Ideals, Esmaeil Rostami, Reza Nekooei

Turkish Journal of Mathematics

In this paper, by giving an example we answer positively the question ``Does there exist a $P$-primary ideal $I$ in a Noetherian domain $R$ such that $PI = I^2$, but $I$ is not almost prime?", asked by S. M. Bhatwadekar and P. K. Sharma. We also investigated conditions under which the answer to the above mentioned question is negative.

Lagrangian Description, Symplectization, And Eulerian Dynamics Of Incompressible Fluids, Hasan Gümral

Turkish Journal of Mathematics

Eulerian dynamical equations in a three-dimensional domain are used to construct a formal symplectic structure on time-extended space. Symmetries, invariants, and conservation laws are related to this geometric structure. The symplectic structure incorporates dynamics of helicities as identities. The generator of the infinitesimal dilation for symplectic two-form can be interpreted as a current vector for helicity. Symplectic dilation implies the existence of contact hypersurfaces. In particular, these include contact structures on the space of streamlines and on the Bernoulli surfaces.

Multiple Positive Solutions Of Nonlinear $M$-Point Dynamic Equations For $P$-Laplacian On Time Scales, Abdülkadi̇r Doğan

Turkish Journal of Mathematics

In this paper, we study the existence of positive solutions of a nonlinear $ m $-point $p$-Laplacian dynamic equation $$(\phi_p(x^\Delta(t)))^\nabla+w(t)f(t,x(t),x^\Delta(t))=0,\hspace{2cm} t_1< t 1.$ Sufficient conditions for the existence of at least three positive solutions of the problem are obtained by using a fixed point theorem. The interesting point is the nonlinear term $f$ is involved with the first order derivative explicitly. As an application, an example is given to illustrate the result.

Projective Crossed Modules Of Algebras And Cyclic Homology, Eli̇f Ilgaz

Turkish Journal of Mathematics

In this work, we give a characterization of free crossed modules and also get a relation between projective crossed modules and the cyclic homology of associative algebras by using Hopf-type formulas.

$Q$-Riordan Array For $Q$-Pascal Matrix And Its Inverse Matrix, Nai̇m Tuğlu, Fatma Yeşi̇l, Maciej Dziemianczuk, E. Gökçen Koçer

Turkish Journal of Mathematics

In this paper, we prove the $q$-analogue of the fundamental theorem of Riordan arrays. In particular, by defining two new binary operations $\ast_{q} $ and $\ast _{1/q}$, we obtain a $q$-analogue of the Riordan representation of the $q$-Pascal matrix. In addition, by aid of the $q$-Lagrange expansion formula we get $q$-Riordan representation for its inverse matrix.

Existence Of Positive Solutions For Difference Systems Coming From A Model For Burglary, Tianlan Chen, Ruyun Ma

Turkish Journal of Mathematics

In this paper, we use the Brouwer degree to prove existence results of positive solutions for the following difference systems: $$\aligned &{D}_k\Delta^2(A_{k-1}-A^0_{k-1})-(A_{k}-A^0_{k})+N_kf(k, A_{k})=0,\ \ k\in[2, n-1]_\mathbb{Z},\\ &\Delta^2N_{k-1}+\Delta[g(k, A_{k}, \Delta A_{k-1})N_k]-w^2(N_k-1)=0,\ \ k\in[2, n-1]_\mathbb{Z},\\ &\Delta A_{1}=0=\Delta A_{n-1},\ \ \Delta N_{1}=0=\Delta N_{n-1}, \endaligned\eqno $$ where the assumptions on $w,\ D_k, A_k^0, f$, and $g$ are motivated by some mathematical models for the burglary of houses.

A Characterization Of Derivations On Uniformly Mean Value Banach Algebras, Amin Hosseini

Turkish Journal of Mathematics

In this paper, a uniformly mean value Banach algebra (briefly UMV-Banach algebra) is defined as a new class of Banach algebras, and we characterize derivations on this class of Banach algebras. Indeed, it is proved that if $\mathcal{A}$ is a unital UMV-Banach algebra such that either $a = 0$ or $b = 0$ whenever $ab = 0$ in $\mathcal{A}$, and if $\delta:\mathcal{A} \rightarrow \mathcal{A}$ is a derivation such that $a \delta(a) = \delta(a)a$ for all $a \in \mathcal{A}$, then the following assertions are equivalent:\\ (i) $\delta$ is continuous; \\(ii) $\delta(e^a) = e^a\delta(a)$ for all $a \in \mathcal{A}$; \\(iii) $\delta$ is …

On The Solvability Of The Riemann Boundary Value Problem In Morrey--Hardy Classes, Bilal Bilalov, Telman Gasymov, Aida Guliyeva

Turkish Journal of Mathematics

This work considers the Riemann boundary value problem with the piecewise continuous coefficient in Morrey-Hardy classes. Under some conditions on the coefficient, the Fredholmness of this problem is studied and the general solution of homogeneous and nonhomogeneous problems in Morrey-Hardy classes is constructed.

Isometric $N$-Jordan Weighted Shift Operators, Saeed Yarmahmoodi, Karim Hedayatian

Turkish Journal of Mathematics

A bounded linear operator $T$ on a Hilbert space is an isometric $N$-Jordan operator if it can be written as $A+Q$, where $A$ is an isometry and $Q$ is a nilpotent of order $N$ such that $AQ= QA$. In this paper, we will show that the only isometric $N$-Jordan weighted shift operators are isometries. This answers a question recently raised.

Pseudospectral Operational Matrix For Numerical Solution Of Single And Multiterm Time Fractional Diffusion Equation, Saeid Gholami, Esmail Babolian, Mohammad Javidi

Turkish Journal of Mathematics

This paper presents a new numerical approach to solve single and multiterm time fractional diffusion equations. In this work, the space dimension is discretized to the Gauss$-$Lobatto points. We use the normalized Grunwald approximation for the time dimension and a pseudospectral successive integration matrix for the space dimension. This approach shows that with fewer numbers of points, we can approximate the solution with more accuracy. Some examples with numerical results in tables and figures displayed.

High-Order Uniformly Convergent Method For Nonlinear Singularly Perturbed Delay Differential Equations With Small Shifts, Abdelhay Salama, Dirhem Al-Amery

Turkish Journal of Mathematics

In this paper, we propose and analyze a high-order uniform method for solving boundary value problems (BVPs) for singularly perturbed nonlinear delay differential equations with small shifts (delay and advance). Such types of BVPs play an important role in the modeling of various real life phenomena, such as the variational problem in control theory and in the determination of the expected time for the generation of action potentials in nerve cells. To obtain parameter-uniform convergence, the present method is constructed on a piecewise-uniform Shishkin mesh. The error estimate is discussed and it is shown that the method is uniformly convergent …

Forensic Investigation Of Cyberstalking Cases Using Behavioural Evidence Analysis, Noora Al Mutawa, Joanne Bryce, Virginia N.L. Franqueira, Andrew Marrington

All Works

Behavioural Evidence Analysis (BEA) is, in theory, useful in developing an understanding of the offender, the victim, the crime scene, and the dynamics of the crime. It can add meaning to the evidence obtained through digital forensic techniques and assist investigators with reconstruction of a crime. There is, however, little empirical research examining the application of BEA to actual criminal cases, particularly cyberstalking cases. This study addresses this gap by examining the utility of BEA for such cases in terms of understanding the behavioural and motivational dimensions of offending, and the way in which digital evidence can be interpreted. It …

Mixed Modulus Of Continuity In The Lebesgue Spaces With Muckenhouptweights And Their Properties, Ramazan Akgün

Turkish Journal of Mathematics

Main properties of the mixed modulus of continuity in the Lebesgue spaces with Muckenhoupt weights are investigated. We use the mixed modulus of continuity to obtain Potapov type direct and inverse estimates of angular trigonometric approximation of functions in these spaces. We prove an equivalence between the mixed modulus of continuity and K -functional and realization functional.

On Hermite-Hadamard Type Inequalities Via Generalized Fractional Integrals, Mohamed Jleli, Donal O'Regan, Bessem Samet

Turkish Journal of Mathematics

New Hermite-Hadamard type inequalities are obtained for convex functions via generalized fractional integrals. The results presented here are generalizations of those obtained in earlier works.

New Approach Of Modifying The Anatase To Rutile Transition Temperature In Tio2 Photocatalysts, Ciara Byrne, Rachel Fagan, Steven Hinder, Declan Mccormack, Suresh Pillai

Articles

In pure synthetic titanium dioxide, the anatase to rutile phase transition usually occurs between the temperatures of 600 °C and 700 °C. The phase transition temperature can be altered by various methods, including modifying the precursor or by adding dopant or modifier to the TiO2 sample. In an attempt to investigate the phase transition using aromatic carboxylic acids, the current study examines the impact of increasing concentrations of benzoic acid (1 : 0, 1 : 1, 1 : 4 and 1 : 8 molar ratio TiO2 : benzoic acid) on anatase to rutile transition. The samples were characterised using Raman …

Corporate Social Responsibility/Sustainability Reporting Among The Fortune Global 250: Greenwashing Or Green Supply Chain?, John K. Lewis

Faculty and Staff - Articles & Papers

The sustainability reporting efforts of MNCs who are members of the Fortune Global 250 (FG250) was investigated. The focus was on sustainability reporting by MNCs of supply chain impacts. The reporting of FG250 MNCs was examined to determine if greenwashing was occurring or whether MNCs had committed to operating a green supply chain. A mixed methodology was used consisting of quantitative analysis of twenty-five MNC CSR/sustainability reports which were randomly selected from the FG250 listing. Qualitative analysis using content analysis was also conducted on the reports. Both methodologies concentrated on the sustainability reporting of the selected MNCs in regard to …

Contact Improvisation: Concepts Of Physics Transformed Into Art, Gianna F. Todisco

Dance Department Best Student Papers

No abstract provided.

2016 Greenhouse Gas Inventory Report: Virginia Institute Of Marine Science, Green Team, Virginia Institute Of Marine Science, Pamela Braff, Elisabeth Clyne, Andrew J. Johnson, Patricia S. Thibodeau, Kelley Uhlig

Reports

During summer 2016 the VIMS Green Team completed an inventory of greenhouse gas (GHG) emissions from the Virginia Institute of Marine Science (VIMS) Gloucester Point campus during FY2015. GHG emissions were estimated using the Campus Carbon Calculator maintained by the Sustainability Institute at the University of New Hampshire, and compared to a previous GHG audit from FY2010.

Tribes And Water In The Colorado River Basin, Colorado River Research Group

Books, Reports, and Studies

4 pages : charts.

The special nature of tribal water rights -- Quantified water rights -- The Colordo mainstream reservations -- Central Arizona tribes -- Upper basin tribes -- Outstanding / unresolved tribal claims -- The path forward.

Probing The Landscape: Toward A Systematic Taxonomy Of Online Peer Assessment Systems In Education, Dymytro Babik, Edward F. Gehringer, Jennifer Kidd, Ferry Pramudianto, David Tinapple

Teaching & Learning Faculty Publications

We present the research framework for a taxonomy of online educational peer-assessment systems. This framework enables researchers in technology-supported peer assessment to understand the current landscape of technologies supporting student peer review and assessment, specifically, its affordances and constraints. The framework helps identify the major themes in existing and potential research and formulate an agenda for future studies. It also informs educators and system design practitioners about use cases and design options.

Mangrove Enhancement As A Climate Change Adaptation Strategy In The Republic Of The Marshall Islands (Rmi): Potential Ecosystem Service Shifts Following Colonization, Andrew S. Harwood

Environmental Science and Management Professional Master's Project Reports

The ability of Small Island Developing States (SIDS) and Pacific Island communities to adapt to the increasing sea-levels, storm surge, saltwater intrusion, and other threats posed by global climate change is critical to the survival of many of these local communities as well as their cultures (LivingIslands.org). One of the world’s most striking examples of a nation at great risk is the Republic of the Marshall Islands (RMI) in the central Pacific Ocean. Due to a combination of factors, including the country’s extremely low elevation above sea-level (an average of 2 meters) and lack of adequate structures to provide safety …

Greenroof Study: Final Report, An Assessment Of Greenroof Design And Maintenance In Portland, Oregon: 2011 – 2013, Windy Carney Beck

Environmental Science and Management Professional Master's Project Reports

In 1999 the City of Portland (City) began to require that stormwater management facilities (SMF) be built when private property is newly developed or redeveloped (City Code Chapter 17.38). Proper maintenance and upkeep of SMFs is essential to ensuring they function appropriately. The City's Maintenance Inspection Program (MIP) is tasked with inspecting stormwater management facilities on private properties in order to ensure that they are being properly operated and maintained and to meet provisions of the City's NPDES Municipal Separated Storm Sewer System (MS4) permit.

Greenroofs are one type of SMF that are installed to satisfy this requirement. Understanding the …

Assessment Of Tmdl Implementation And Water Quality Status And Trends In Amazon Creek And Coyote Creek Watersheds, Stosh Zydek

Environmental Science and Management Professional Master's Project Reports

In this project, I analyzed the status and trends of water quality data describing fecal bacteria (E. coli) and DO in the Amazon and Coyote Creek watersheds of the Southern Willamette Valley, Oregon. I also examined TMDL implementation plans produced by DMAs, determined if and how implementation activities corresponded to changes in water quality, compared management and planning of DMAs in the watersheds, discussed aspects of the current TMDL, and compared state regulations and standards in other states. I concluded by making management recommendations to better facilitate future status and trend analysis.

Amazon Creek, Amazon Diversion Channel, A-3 …

Management Plan For Western Painted Turtle (Chrysemys Picta Belli) At Fairview Creek Headwaters, Ashley Smithers

Environmental Science and Management Professional Master's Project Reports

Western painted turtles (Chrysemys picta belli) are found occupying Fairview Creek Headwaters (FCH) in Gresham, Oregon. This urban stream contains a large wetland with an adjacent butte, all managed by the City of Gresham. This management plan addresses the preferred habitat and population of turtles at the site. A habitat delineation of the site revealed specific locations where habitat improvements could take place as well as areas of already beneficial habitat. Two site plans were prepared showing areas of the site that could be enhanced with nesting habitat as well as additional aquatic habitat and basking habitat. A habitat study …