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Articles 1741 - 1770 of 2494
Full-Text Articles in Physical Sciences and Mathematics
Some Results On Cyclic Codes Over The Ring R_{2,M}, Reza Sobhani, Maryam Molakarimi
Some Results On Cyclic Codes Over The Ring R_{2,M}, Reza Sobhani, Maryam Molakarimi
Turkish Journal of Mathematics
Let R_{k,m} be the ring F_{2^m}[u_1,u_2,...,u_k]/\gen u_i^2, u_iu_j-u_ju_i. In this paper, cyclic codes of arbitrary length n over the ring R_{2,m} are completely characterized in terms of unique generators and a way for determination of these generators is investigated. A F_{2^m}-basis for these codes is also derived from this representation. Moreover, it is proven that there exists a one-to-one correspondence between cyclic codes of length 2n, n odd, over the ring R_{k-1,m} and cyclic codes of length n over the ring R_{k,m}. By determining the complete structure of cyclic codes of length 2 over R_{2,m}, a mass formula for the …
Generating Systems Of Differential Invariants And The Theorem On Existence For Curves In The Pseudo-Euclidean Geometry}, Djavvat Khadjiev, İdri̇s Ören, Ömer Pekşen
Generating Systems Of Differential Invariants And The Theorem On Existence For Curves In The Pseudo-Euclidean Geometry}, Djavvat Khadjiev, İdri̇s Ören, Ömer Pekşen
Turkish Journal of Mathematics
Let M(n, p) be the group of all motions of an n-dimensional pseudo-Euclidean space of index p. It is proved that the complete system of M(n,p)-invariant differential rational functions of a path (curve) is a generating system of the differential field of all M(n,p)-invariant differential rational functions of a path (curve), respectively. A fundamental system of relations between elements of the complete system of M(n,p)-invariant differential rational functions of a path (curve) is described.
Orthogonal Systems In L^2 Spaces Of A Vector Measure, Eduardo Jiménez Fernández
Orthogonal Systems In L^2 Spaces Of A Vector Measure, Eduardo Jiménez Fernández
Turkish Journal of Mathematics
Let m:\Sigma \to X be a Banach space valued countably additive vector measure. In this paper we present a procedure to construct an m-orthogonal system in the space L^2(m) of square integrable functions with respect to m. If the vector measure is constructed from a family of indeterminate scalar measures, it is possible to obtain a family of polynomials that is orthogonal with respect to this vector measure. On the other hand, if the vector measure is fixed, then we can obtain sequences of orthogonal functions using the Kadec-Pelczynski disjointification method.
A Note On Unmixed Ideals Of Veronese Bi-Type, Monica La Barbiera
A Note On Unmixed Ideals Of Veronese Bi-Type, Monica La Barbiera
Turkish Journal of Mathematics
We classify the unmixed ideals of Veronese bi-type and in some cases we give a description of their associated prime ideals.
A Nonlocal Parabolic Problem In An Annulus For The Heaviside Function In Ohmic Heating, Fei Liang, Hongjun Gao, Charles Bu
A Nonlocal Parabolic Problem In An Annulus For The Heaviside Function In Ohmic Heating, Fei Liang, Hongjun Gao, Charles Bu
Turkish Journal of Mathematics
In this paper, we consider the nonlocal parabolic equation u_t=\Delta u+\frac{\lambda H(1-u)}{\big(\int_{A_{\rho, R}} H(1-u)dx\big)^2}, x\in A_{\rho, R} \subset R^2, t>0, with a homogeneous Dirichlet boundary condition, where \lambda is a positive parameter, H is the Heaviside function and A_{\rho, R} is an annulus. It is shown for the radial symmetric case that: there exist two critical values \lambda_* and \lambda^*, so that for 0
Strong Solution For A High Order Boundary Value Problem With Integral Condition, Ahcene Merad, Ahmed Lakhdar Marhoune
Strong Solution For A High Order Boundary Value Problem With Integral Condition, Ahcene Merad, Ahmed Lakhdar Marhoune
Turkish Journal of Mathematics
The present paper is devoted to a proof of the existence and uniqueness of strong solution for a high order boundary value problem with integral condition. The proof is based by a priori estimate and on the density of the range of the operator generated by the studied problem.
Derived And Residual Sylvester-Hadamard Designs And The Smith Normal Form, İlhan Hacioğlu
Derived And Residual Sylvester-Hadamard Designs And The Smith Normal Form, İlhan Hacioğlu
Turkish Journal of Mathematics
We computed the Smith normal form of Sylvester-Hadamard designs and its complement, their derived and residual Sylvester-Hadamard designs and their complementary derived and residual Sylvester-Hadamard designs.
A Variation Of Supplemented Modules, Gökhan Bi̇lhan, Ayşe Tugba Güroğlu
A Variation Of Supplemented Modules, Gökhan Bi̇lhan, Ayşe Tugba Güroğlu
Turkish Journal of Mathematics
Over a general ring, an R-module is w-supplemented if and only if amply w-supplemented. It is proved that over a local Dedekind domain, all modules are w-supplemented and over a non-local Dedekind domain, an R-module M is w-supplemented if and only if Soc(M)\ll M or M=S_0 \oplus (\bigoplus_{i \in I} K), where S_0 is a torsion, semisimple submodule of M and K is the field of quotients of R.
Structure Theorems For Rings Under Certain Coactions Of A Hopf Algebra, Gaetana Restuccia, Rosanna Utano
Structure Theorems For Rings Under Certain Coactions Of A Hopf Algebra, Gaetana Restuccia, Rosanna Utano
Turkish Journal of Mathematics
Let \{D_1,..., D_n\} be a system of derivations of a k-algebra A, k a field of characteristic p > 0, defined by a coaction \delta of the Hopf algebra H_c = k[X_1,..., X_n]/(X_1^p,..., X_n^p), c \in \{0,1\}, the Lie Hopf algebra of the additive group and the multiplicative group on A, respectively. If there exist x_1, \dots, x_n \in A, with the Jacobian matrix (D_i(x_j)) invertible, [D_i,D_j] = 0, D_i^p = cD_i, c \in \{0, 1\}, 1 \leq i, j \leq n, we obtain elements y_1,..., y_n \in A, such that D_i(y_j) = \delta_{ij}(1 + cy_i), using properties of H_c-Galois extensions. …
Growth And Distortion Theorems For Multivalent Janowski Close-To-Convex Harmonic Functions With Shear Construction Method, Yaşar Polatoğlu, Hati̇ce Esra Özkan, Emel Yavuz Duman
Growth And Distortion Theorems For Multivalent Janowski Close-To-Convex Harmonic Functions With Shear Construction Method, Yaşar Polatoğlu, Hati̇ce Esra Özkan, Emel Yavuz Duman
Turkish Journal of Mathematics
In this paper we introduce the class of m-valent Janowski close to convex harmonic functions. Growth and distortion theorems are obtained for this class. Our study is based on the harmonic shear methods for harmonic functions.
On The Non-Propagation Theorem And Applications, Nassim Athmouni, Mondher Damak
On The Non-Propagation Theorem And Applications, Nassim Athmouni, Mondher Damak
Turkish Journal of Mathematics
We use C^*-algebras to determine the non-propagation estimates for a certain class of generalized Schrödinger operators acting on the Hilbert space \ell^2(\Gamma), where \Gamma is a tree, and we give some examples for other classes of potentials.
The Cyclic Behavior Of The Constrictive Markov Operators, César Emilio Villarreal Rodríguez
The Cyclic Behavior Of The Constrictive Markov Operators, César Emilio Villarreal Rodríguez
Turkish Journal of Mathematics
Let S be a Polish space, and let M_{\varSigma} be the Banach space of finite signed measures on the Borel \Sigma-algebra \varSigma of S. Given a constrictive Markov operator T:M_{\varSigma}\rightarrow M_{\varSigma}, we use the asymptotic periodic decomposition of T to determine the set of T-invariant distributions in M_{\varSigma} and the set of T-ergodic distributions. We also give the relationship between the asymptotic periodic decomposition and the cycles of the process relative to the operator T.
Radical Operations On The Multiplicative Lattice, Esra Şengelen Sevi̇m
Radical Operations On The Multiplicative Lattice, Esra Şengelen Sevi̇m
Turkish Journal of Mathematics
The purpose of this paper is to introduce interesting and useful properties of quasi-radical and radical operations on the elements of a multiplicative lattice.
Nzi Rings, Long Wang, Junchao Wei, Libin Li
Nzi Rings, Long Wang, Junchao Wei, Libin Li
Turkish Journal of Mathematics
A ring R is called NZI if for any a \in R, l(a) is an N-ideal of R. In this paper, we first study some basic properties and basic extensions of NZI rings. Next, we study the strong regularity of NZI rings and obtain the following results: (1) Let R be a left SF-ring. Then R is a strongly regular ring if and only if R is an NZI ring; (2) If R is an NZI left MC2 ring and every simple singular left R-module is nil-injective, then R is reduced; (3) Let R be an NZI ring. Then R …
On The Minkowski Measurability Of Self-Similar Fractals In R^D, Ali̇ Deni̇z, Mehmet Şahi̇n Koçak, Yunus Özdemi̇r, Andrei̇ Rati̇u, Adem Ersi̇n Üreyen
On The Minkowski Measurability Of Self-Similar Fractals In R^D, Ali̇ Deni̇z, Mehmet Şahi̇n Koçak, Yunus Özdemi̇r, Andrei̇ Rati̇u, Adem Ersi̇n Üreyen
Turkish Journal of Mathematics
The question of Minkowski measurability of fractals is investigated for different situations by various authors, notably by M. Lapidus. In dimension one it is known that the attractor of an IFS consisting of similitudes (and satisfying a certain open set condition) is Minkowski measurable if and only if the IFS is of non-lattice type and it was conjectured that this would be true also in higher dimensions. Half of this conjecture was proved by Gatzouras in 2000, who showed that the attractor of an IFS (satisfying the open set condition) is Minkowski measurable if the IFS is of non-lattice type. …
An Exhaustive Computer Search For Finding New Curves With Many Points Among Fibre Products Of Two Kummer Covers Over F_5 And F_7, Ferruh Özbudak, Burcu Gülmez Temür, Oğuz Yayla
An Exhaustive Computer Search For Finding New Curves With Many Points Among Fibre Products Of Two Kummer Covers Over F_5 And F_7, Ferruh Özbudak, Burcu Gülmez Temür, Oğuz Yayla
Turkish Journal of Mathematics
In this paper we make an exhaustive computer search for finding new curves with many points among fibre products of 2 Kummer covers of the projective line over F_5 and F_7. At the end of the search, we have 12 records and 6 new entries for the current Table of Curves with Many Points. In particular, we observe that the fibre product y_1^3 = \frac{5(x + 2)(x + 5)}{x}, y_2^3 = \frac{3x^2(x + 5)}{x + 3} over F_7 has genus 7 with 36 rational points. As this coincides with the Ihara bound, we conclude that the maximum number N_7(7) of …
On The Krull Dimension Of Endo-Bounded Modules, Ahmad Haghany, Majid Mazrooei, Mohamad Reza Vedadi
On The Krull Dimension Of Endo-Bounded Modules, Ahmad Haghany, Majid Mazrooei, Mohamad Reza Vedadi
Turkish Journal of Mathematics
Modules in which every essential submodule contains an essential fully invariant submodule are called endo-bounded. Let M be a nonzero module over an arbitrary ring R and X = Spec_2(M_R), the set of all fully invariant L_2-prime submodules of M_R. If M_R is a quasi-projective L_2-Noetherian such that (M/P)_R is endo-bounded for any P \in X, then it is shown that the Krull dimension of M_R is at most the classical Krull dimension of the poset X. The equality of these dimensions and some applications are obtained for certain modules. This gives a generalization of a well-known result on right …
Complemented Invariant Subspaces Of Structural Matrix Algebras, Mustafa Akkurt, Emi̇ra Akkurt, George Phillip Barker
Complemented Invariant Subspaces Of Structural Matrix Algebras, Mustafa Akkurt, Emi̇ra Akkurt, George Phillip Barker
Turkish Journal of Mathematics
In this paper, we explore when the lattice of invariant subspaces of a structural matrix algebra can be complemented. We give several equivalent conditions for this lattice to be a Boolean algebra.
C.P. Modules And Their Applications, Qiongling Liu, Jianlong Chen
C.P. Modules And Their Applications, Qiongling Liu, Jianlong Chen
Turkish Journal of Mathematics
Let R be a ring. A left R-module M is called a c.p. module if every cyclic submodule of M is projective. This notion is a generalization of left p.p. rings in the general module theoretic setting. The aim of this article is to investigate these modules. Some characterizations and properties are given. As applications, the connections among Baer rings, p.p. rings and von Neumann regular rings are studied.
Scalar Curvature And Symmetry Properties Of Lightlike Submanifolds}, Cyriaque Atindogbe, Oscar Lungiambudila, Joel Tossa
Scalar Curvature And Symmetry Properties Of Lightlike Submanifolds}, Cyriaque Atindogbe, Oscar Lungiambudila, Joel Tossa
Turkish Journal of Mathematics
In this paper, the induced Ricci tensor and the extrinsic scalar curvature on lightlike submanifolds are obtained. This scalar quantity extend the result given by C. Atindogbe in [1]. An example of extrinsic scalar curvature on one class of 2-degenerate manifolds is provided. We investigate lightlike submanifolds which are locally symmetric, semi-symmetric, Ricci semi-symmetric in indefinite spaces form. In the coisotropic case, we show that, under some conditions, these lightlike submanifolds are totally geodesic.
Gorenstein Transpose With Respect To A Semidualizing Bimodule, Zengfeng Liu, Xiaoguang Yan
Gorenstein Transpose With Respect To A Semidualizing Bimodule, Zengfeng Liu, Xiaoguang Yan
Turkish Journal of Mathematics
Let S and R be rings and _SC_R be a semidualizing bimodule. We first give the definitions of C-transpose and n-C-torsionfree and give a criterion for a module A to be G_C-projective by some property of the C-transpose of A. Then we introduce the notion of C-Gorenstein transpose of a module over two-sided Noetherian rings. We prove that a module M in \mod R^{op} is a C-Gorenstein transpose of a module A \in \mod S if and only if M can be embedded into a C-transpose of A with the cokernel G_C-projective. Finally we investigate some homological properties of the …
Blow-Up Phenomena For Nonlocal Inhomogeneous Diffusion Problems, Jianwen Sun, Feiying Yang
Blow-Up Phenomena For Nonlocal Inhomogeneous Diffusion Problems, Jianwen Sun, Feiying Yang
Turkish Journal of Mathematics
This paper is concerned with the blow-up of solutions to some nonlocal inhomogeneous dispersal equations subject to homogeneous Neumann boundary conditions. We establish conditions on nonlinearities sufficient to guarantee that solutions exist for all time as well as blow up at some finite time. Moreover, lower bounds for blow-up time of nonlocal problems are obtained.
On Some Results On Ip-Graphs, Roghayeh Hafezieh, Moohammadali Iranmanesh
On Some Results On Ip-Graphs, Roghayeh Hafezieh, Moohammadali Iranmanesh
Turkish Journal of Mathematics
The IP-graph of a naturally valenced association scheme and some of its properties have been studied recently. In this paper we introduce the bipartite version of this graph for a naturally valenced association scheme (X,S), denoted by BIP(S). We also investigate some of its properties.
Algorithm To Solve Certain Ternary Quartic Diophantine Equations, Laszlo Szalay
Algorithm To Solve Certain Ternary Quartic Diophantine Equations, Laszlo Szalay
Turkish Journal of Mathematics
In this paper, we develop an algorithm to solve completely the Diophantine equation F(x,y)=z^2, where the quartic inhomogeneous polynomial F(x,y) with integer coefficients satisfies certain technical conditions. The procedure is an extension of the version of Runge's method given by Poulakis.
Continuous Invariant Averagings, Djavvat Khadjiev, Abdullah Çavuş
Continuous Invariant Averagings, Djavvat Khadjiev, Abdullah Çavuş
Turkish Journal of Mathematics
Main results: For every equicontinuous almost periodic linear representation of a group in a complete locally convex space L with the countability property, there exists the unique invariant averaging; it is continuous and is expressed by using the L-valued invariant mean of Bochner and von-Neumann. An analog of Wiener's approximation theorem for an equicontinuous almost periodic linear representation in a locally convex space with the countability property is proved.
Quasinormability And Diametral Dimension, Ahmet Tosun Terzi̇oğlu
Quasinormability And Diametral Dimension, Ahmet Tosun Terzi̇oğlu
Turkish Journal of Mathematics
Two versions of diametral dimension are shown to coincide for quasinormable Fréchet spaces. The diametral dimension is determined by a single bounded subset in certain cases.
Complete Cotorsion Pairs In The Category Of Complexes, Zhanping Wang, Zhongkui Liu
Complete Cotorsion Pairs In The Category Of Complexes, Zhanping Wang, Zhongkui Liu
Turkish Journal of Mathematics
In this paper, we study completeness of cotorsion pairs in the category of complexes of R-modules. Let (A, B) be a cotorsion pair in R-Mod. It is shown that the cotorsion pair (\widetilde{A}, dg\widetilde{B}) and (\overline{A}, \overline{A}^{\perp}) are complete if A is closed under pure submodules and cokernels of pure monomorphisms, where in Gillespie's definitions \widetilde{A} is the class of exact complexes with cycles in A and dg\widetilde{B} is the class of complexes X with components in B such that the complex Hom(A, X) is exact for every complex A \in \widetilde{A}; and \overline{A} is the class of all complexes …
Slant Submersions From Almost Product Riemannian Manifolds, Yilmaz Gündüzalp
Slant Submersions From Almost Product Riemannian Manifolds, Yilmaz Gündüzalp
Turkish Journal of Mathematics
In this paper, we define the concept of almost product Riemannian submersion between almost product Riemannian manifolds. We introduce slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give examples and investigate the geometry of foliations that arise from the definition of a Riemannian submersion. We also find necessary and sufficient conditions for a slant submersion to be totally geodesic.
Factorization Of Composite Polynomials Over Finite Fields, Saeid Mehrabi
Factorization Of Composite Polynomials Over Finite Fields, Saeid Mehrabi
Turkish Journal of Mathematics
This paper presents the reducibility of some composite polynomials and explicitly determines the factorization over finite fields. Also families of irreducible polynomials over finite fields are introduced.
A Class Of 3-Dimensional Almost Cosymplectic Manifolds, İrem Küpeli̇ Erken, Cengi̇zhan Murathan
A Class Of 3-Dimensional Almost Cosymplectic Manifolds, İrem Küpeli̇ Erken, Cengi̇zhan Murathan
Turkish Journal of Mathematics
The main interest of the present paper is to classify the almost cosymplectic 3-manifolds that satisfy \Vert grad\lambda \Vert = const.(\neq 0) and \bigtriangledown_{\xi} h=2ah\phi.