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The Ext-Strongly Gorenstein Projective Modules, Jie Ren
The Ext-Strongly Gorenstein Projective Modules, Jie Ren
Turkish Journal of Mathematics
In this paper, we introduce and study Ext-strongly Gorenstein projective modules. We prove that the class of Ext-strongly Gorenstein projective modules is projective resolving. Moreover, we consider Ext-strongly Gorenstein projective precovers.
On Ampleness And Pseudo-Anosov Homeomorphisms In The Free Group, Rizos Sklinos
On Ampleness And Pseudo-Anosov Homeomorphisms In The Free Group, Rizos Sklinos
Turkish Journal of Mathematics
We use pseudo-Anosov homeomorphisms of surfaces in order to prove that the first-order theory of non-Abelian free groups, T_{fg}, is n-ample for any n \in \omega. This result adds to the work of Pillay, which proved that T_{fg} is non-CM-trivial. The sequence witnessing ampleness is a sequence of primitive elements in F_{\omega}. Our result provides an alternative proof to the main result of a recent preprint by Ould Houcine and Tent.
Balanced Pair Algorithm For A Class Of Cubic Substitutions, Tarek Sellami
Balanced Pair Algorithm For A Class Of Cubic Substitutions, Tarek Sellami
Turkish Journal of Mathematics
In this article we introduce the balanced pair algorithm associated with 2 unimodular Pisot substitutions having the same incidence matrix. We are interested in beta-substitution related to the polynomial x^3 - ax^2 - bx-1 for a \geq b \geq 1. Applying the balanced pair algorithm to these substitutions, we obtain a general formula for the associated intersection substitution.
On P-Schemes With The Same Degrees Of Thin Radical And Thin Residue, Fatemeh Raei Barandagh, Amir Rahnamai Barghi
On P-Schemes With The Same Degrees Of Thin Radical And Thin Residue, Fatemeh Raei Barandagh, Amir Rahnamai Barghi
Turkish Journal of Mathematics
Let p and n>1 be a prime number and an integer, respectively. In this paper, first we show that any p-scheme whose thin radical and thin residue are equal is isomorphic to a fission of the wreath product of 2 thin schemes. In addition, we characterize association p-schemes whose thin radical and thin residue each have degree equal to p. We also characterize association p-schemes on p^n points whose thin radical and thin residue each have degree equal to p^{n-1}, and whose basis relations each have valency 1 or p^{n-1}. Moreover, we show that such schemes are Schurian.
(X, Y)-Gorenstein Projective And Injective Modules, Qunxing Pan, Faqun Cai
(X, Y)-Gorenstein Projective And Injective Modules, Qunxing Pan, Faqun Cai
Turkish Journal of Mathematics
This paper introduces and studies (X,Y)-Gorenstein projective and injective modules, which are a generalization of Enochs' Gorenstein projective and injective modules, respectively. Our main aim is to investigate the relations among various (X,Y)-Gorenstein projective modules.
Arithmetical Rank Of The Edge Ideals Of Some N-Cyclic Graphs With A Common Edge, Guangjun Zhu, Feng Shi, Yan Gu
Arithmetical Rank Of The Edge Ideals Of Some N-Cyclic Graphs With A Common Edge, Guangjun Zhu, Feng Shi, Yan Gu
Turkish Journal of Mathematics
In this paper, we present some lower bounds and upper bounds on the arithmetical rank of the edge ideals of some n-cyclic graphs with a common edge. For some special n-cyclic graphs with a common edge, we prove that the arithmetical rank equals the projective dimension of the corresponding quotient ring.
Good Modulating Sequences For The Ergodic Hilbert Transform, Azer Akhmedov, Doğan Çömez
Good Modulating Sequences For The Ergodic Hilbert Transform, Azer Akhmedov, Doğan Çömez
Turkish Journal of Mathematics
This article investigates classes of bounded sequences of complex numbers that are universally good for the ergodic Hilbert transform in L_p-spaces, 2 \leq p \leq \infty. The class of bounded Besicovitch sequences satisfying a rate condition is among such sequence classes.
On Separating Subadditive Maps, Vesko Valov
On Separating Subadditive Maps, Vesko Valov
Turkish Journal of Mathematics
Recall that a map T \colon C(X,E) \to C(Y,F), where X, Y are Tychonoff spaces and E, F are normed spaces, is said to be separating, if for any 2 functions f,g \in C(X,E) we have c(T(f)) \cap c(T(g))= \varnothing provided c(f) \cap c(g) = \varnothing. Here c(f) is the co-zero set of f. A typical result generalizing the Banach--Stone theorem is of the following type (established by Araujo): if T is bijective and additive such that both T and T^{-1} are separating, then the realcompactification \nu X of X is homeomorphic to \nu Y. In this paper we show …
Coextended Weak Entwining Structures, José Nicanor Alonso Álvarez, José Manuel Fernandez Vilaboa, Ramón González Rodríguez
Coextended Weak Entwining Structures, José Nicanor Alonso Álvarez, José Manuel Fernandez Vilaboa, Ramón González Rodríguez
Turkish Journal of Mathematics
In this paper, we formulate the definition of coextended weak entwining structure in a strict monoidal category with equalizers. For a coextended weak entwining structure (A,D,\psi,\alpha), we introduce the notions of weak (D,\alpha)-cleft extension and weak (D,\alpha)-Galois extension (with normal basis), proving that weak (D,\alpha)-Galois extensions with normal basis are equivalent to weak (D,\alpha)-cleft extensions.
Companion Inequalities To Ostrowski--Grüss Type Inequality And Applications, Khalid Mahmood Awan, Josip Pecaric, Mihaela Ribicic Penava
Companion Inequalities To Ostrowski--Grüss Type Inequality And Applications, Khalid Mahmood Awan, Josip Pecaric, Mihaela Ribicic Penava
Turkish Journal of Mathematics
The aim of this paper is to give some companion inequalities to the Ostrowski-Grüss type inequality for n-time differentiable absolutely continuous functions by using recently obtained bounds for the Chebyshev functional.
Spreading Speeds In A Lattice Differential Equation With Distributed Delay, Huiling Niu
Spreading Speeds In A Lattice Differential Equation With Distributed Delay, Huiling Niu
Turkish Journal of Mathematics
This paper studies the spreading speed for a lattice differential equation with infinite distributed delay and we find that the spreading speed coincides with the minimal wave speed of traveling waves. Here the model has been proposed to describe a single species living in a 1D patch environment with infinite number of patches connected locally by diffusion.
Some Remarks On Distributional Chaos For Bounded Linear Operators, Lvlin Luo, Bingzhe Hou
Some Remarks On Distributional Chaos For Bounded Linear Operators, Lvlin Luo, Bingzhe Hou
Turkish Journal of Mathematics
The aim of this paper is to study distributional chaos for bounded linear operators. We show that distributional chaos of type k \in {1,2} is an invariant of topological conjugacy between two bounded linear operators. We give a necessary condition for distributional chaos of type 2 where it is possible to distinguish distributional chaos and Li--Yorke chaos. Following this condition, we compare distributional chaos with other well-studied notions of chaos for backward weighted shift operators and give an alternative proof to the one where strong mixing does not imply distributional chaos of type 2 (Martínez-Giménez F, Oprocha P, Peris A. …
The Geometry Of Hemi-Slant Submanifolds Of A Locally Product Riemannian Manifold, Hakan Mete Taştan, Fatma Özdemi̇r
The Geometry Of Hemi-Slant Submanifolds Of A Locally Product Riemannian Manifold, Hakan Mete Taştan, Fatma Özdemi̇r
Turkish Journal of Mathematics
In the present paper, we study hemi-slant submanifolds of a locally product Riemannian manifold. We prove that the anti-invariant distribution involved in the definition of hemi-slant submanifold is integrable and give some applications of this result. We get a necessary and sufficient condition for a proper hemi-slant submanifold to be a hemi-slant product. We also study these types of submanifolds with parallel canonical structures. Moreover, we give two characterization theorems for the totally umbilical proper hemi-slant submanifolds. Finally, we obtain a basic inequality involving Ricci curvature and the squared mean curvature of a hemi-slant submanifold of a certain type of …
The Fundamental Theorems Of Algebroid Functions On Annuli, Yang Tan, Qingcai Zhang
The Fundamental Theorems Of Algebroid Functions On Annuli, Yang Tan, Qingcai Zhang
Turkish Journal of Mathematics
An extension of Nevanlinna value distribution theory for algebroid functions on annuli is proposed. The main characteristics are one-parameter and possess the same properties as in the classical case. Analogs of the Cartan theorem, the first fundamental theorem, the second fundamental theorem, deficient values, and the uniqueness of algebroid functions on annuli are proved.
Real Hypersurfaces In Complex Two-Plane Grassmannians Whose Shape Operator Is Recurrent For The Generalized Tanaka-Webster Connection, Juan De Dios Perez, Young Jin Suh, Changhwa Woo
Real Hypersurfaces In Complex Two-Plane Grassmannians Whose Shape Operator Is Recurrent For The Generalized Tanaka-Webster Connection, Juan De Dios Perez, Young Jin Suh, Changhwa Woo
Turkish Journal of Mathematics
We prove the non-existence of Hopf real hypersurfaces in complex two-plane Grassmannians whose shape operator $A$ is generalized Tanaka-Webster recurrent if the principal curvature of the structure vector field is not equal to trace(A).
Almost Analytic Forms With Respect To A Quadratic Endomorphism And Their Cohomology, Mircea Crasmareanu, Cristian Ida
Almost Analytic Forms With Respect To A Quadratic Endomorphism And Their Cohomology, Mircea Crasmareanu, Cristian Ida
Turkish Journal of Mathematics
The goal of this paper is to consider the notion of almost analytic form in a unifying setting for both almost complex and almost paracomplex geometries. We use a global formalism, which yields, in addition to generalizations of the main results of the previously known almost complex case, a relationship with the Frölicher-Nijenhuis theory. A cohomology of almost analytic forms is also introduced and studied as well as deformations of almost analytic forms with pairs of almost analytic functions.
On Broyden-Like Update Via Some Quadratures For Solving Nonlinear Systems Of Equations, Hassan Mohammad, Mohammed Yusuf Waziri
On Broyden-Like Update Via Some Quadratures For Solving Nonlinear Systems Of Equations, Hassan Mohammad, Mohammed Yusuf Waziri
Turkish Journal of Mathematics
In this work, we propose a new alternative approximation based on the quasi-Newton approach for solving systems of nonlinear equations using the average of midpoint and Simpson's quadrature. Our goal is to enhance the efficiency of the method (Broyden's method) by reducing the number of iterations it takes to reach a solution. Local convergence analysis and computational results showing the relative efficiency of the proposed method are given.
Finite Groups With Three Conjugacy Class Sizes Of Primary And Biprimary Elements, Changguo Shao, Qinhui Jiang
Finite Groups With Three Conjugacy Class Sizes Of Primary And Biprimary Elements, Changguo Shao, Qinhui Jiang
Turkish Journal of Mathematics
We determine the structure of finite $\pi(m)$-separable groups if the set of conjugacy class sizes of primary and biprimary elements is $\{1, m, mn\}$, where $m$ and $n$ are two coprime integers.
On Some Classes Of $3$-Dimensional Generalized $ (\Kappa ,\Mu )$-Contact Metric Manifolds, Ahmet Yildiz, Uday Chand De, Azi̇me Çeti̇nkaya
On Some Classes Of $3$-Dimensional Generalized $ (\Kappa ,\Mu )$-Contact Metric Manifolds, Ahmet Yildiz, Uday Chand De, Azi̇me Çeti̇nkaya
Turkish Journal of Mathematics
The object of the present paper is to obtain a necessary and sufficient condition for a $3$-dimensional generalized $(\kappa ,\mu )$-contact metric manifold to be locally $\phi $-symmetric in the sense of Takahashi and the condition is verified by an example. Next we characterize a $3$-dimensional generalized $(\kappa ,\mu )$-contact metric manifold satisfying certain curvature conditions on the concircular curvature tensor. Finally, we construct an example of a generalized $(\kappa,\mu)$-contact metric manifold to verify Theorem $1$ of our paper.
Regular Poles For The P-Adic Group $Gsp_4$-Ii, Yusuf Danişman
Regular Poles For The P-Adic Group $Gsp_4$-Ii, Yusuf Danişman
Turkish Journal of Mathematics
We compute the regular poles of the L-factors of the admissible and irreducible representations of the group $GSp_4$, which admit a nonsplit Bessel functional and have a Jacquet module length of 3 with respect to the unipotent radical of the Siegel parabolic, over a non-Archimedean local field of odd characteristic. We also compute the $L$-factors of the generic representations of $GSp_4$.
Characterizing Rational Groups Whose Irreducible Characters Vanish Only On Involutions, Saeed Jafari, Hesam Sharifi
Characterizing Rational Groups Whose Irreducible Characters Vanish Only On Involutions, Saeed Jafari, Hesam Sharifi
Turkish Journal of Mathematics
A rational group is a finite group whose irreducible complex characters are rational valued. The aim of this paper is to classify rational groups $G$ for which every nonlinear irreducible character vanishes only on involutions.
Notes On Magnetic Curves In 3d Semi-Riemannian Manifolds, Zehra Özdemi̇r, İsmai̇l Gök, Yusuf Yayli, Fai̇k Nejat Ekmekci̇
Notes On Magnetic Curves In 3d Semi-Riemannian Manifolds, Zehra Özdemi̇r, İsmai̇l Gök, Yusuf Yayli, Fai̇k Nejat Ekmekci̇
Turkish Journal of Mathematics
A magnetic field is defined by the property that its divergence is zero in three-dimensional semi-Riemannian manifolds. Each magnetic field generates a magnetic flow whose trajectories are curves $\gamma $, called magnetic curves. In this paper, we investigate the effect of magnetic fields on the moving particle trajectories by variational approach to the magnetic flow associated with the Killing magnetic field on three-dimensional semi-Riemannian manifolds. We then investigate the trajectories of these magnetic fields and give some characterizations and examples of these curves.
Stability In A Job Market With Linearly Increasing Valuations And Quota System, Yasir Ali
Stability In A Job Market With Linearly Increasing Valuations And Quota System, Yasir Ali
Turkish Journal of Mathematics
We consider a job market in which preferences of players are represented by linearly increasing valuations. The set of players is divided into two disjoint subsets: a set of workers and a set of firms. The set of workers is further divided into subsets, which represent different categories or classes in everyday life. We consider that firms have vacant posts for all such categories. Each worker wants a job for a category to which he/she belongs. Firms have freedom to hire more than one worker from any category. A worker can work in only one category for at most one …
Rational Schubert Polynomials, Kürşat Aker, Nesri̇n Tutaş
Rational Schubert Polynomials, Kürşat Aker, Nesri̇n Tutaş
Turkish Journal of Mathematics
We define and study the rational Schubert, rational Grothendieck, rational key polynomials in an effort to understand Molev's dual Schur functions from the viewpoint of Lascoux.
Warped Product Skew Semi-Invariantsubmanifolds Of Order $1$ Of A Locallyproduct Riemannian Manifold, Hakan Mete Taştan
Warped Product Skew Semi-Invariantsubmanifolds Of Order $1$ Of A Locallyproduct Riemannian Manifold, Hakan Mete Taştan
Turkish Journal of Mathematics
We introduce warped product skew semi-invariant submanifolds of order $1$ of a locally product Riemannian manifold. We give a necessary and sufficient condition for a skew semi-invariant submanifold of order 1 to be a locally warped product. We also establish an inequality between the warping function and the squared norm of the second fundamental form for such submanifolds. The equality case is also discussed.
Invariant Distributions And Holomorphic Vector Fields In Paracontact Geometry, Mircea Crasmareanu, Laurian Ioan Piscoran
Invariant Distributions And Holomorphic Vector Fields In Paracontact Geometry, Mircea Crasmareanu, Laurian Ioan Piscoran
Turkish Journal of Mathematics
Having as a model the metric contact case of V. Brînzănescu; R. Slobodeanu, we study two similar subjects in the paracontact (metric) geometry: a) distributions that are invariant with respect to the structure endomorphism $\varphi $; b) the class of vector fields of holomorphic type. As examples we consider both the $3$-dimensional case and the general dimensional case through a Heisenberg-type structure inspired also by contact geometry.
On Zeros Of Certain Dirichlet Polynomials, Kajtaz H. Bllaca
On Zeros Of Certain Dirichlet Polynomials, Kajtaz H. Bllaca
Turkish Journal of Mathematics
In this article we establish the zero-free region of certain Dirichlet polynomials $L_{F, X}$ arising in approximate functional equation for functions in the Selberg class and we prove an asymptotic formula for the number of zeros of $L_{F, X}$.
Stability Of Compact Ricci Solitons Under Ricci Flow, Mina Vaghef, Asadollah Razavi
Stability Of Compact Ricci Solitons Under Ricci Flow, Mina Vaghef, Asadollah Razavi
Turkish Journal of Mathematics
In this paper we establish stability results for Ricci solitons under the Ricci flow, i.e. small perturbations of the Ricci soliton result in small variations in the solution under Ricci flow.