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Articles 1 - 30 of 83
Full-Text Articles in Physical Sciences and Mathematics
A Note On Infinite Groups Whose Subgroups Are Close To Be Normal-By-Finite, Francesco De Giovanni, Federica Saccomanno
A Note On Infinite Groups Whose Subgroups Are Close To Be Normal-By-Finite, Francesco De Giovanni, Federica Saccomanno
Turkish Journal of Mathematics
A group G is said to have the CF-property if the index X:X_G is finite for every subgroup X of G. Extending previous results by Buckley, Lennox, Neumann, Smith, and Wiegold, it is proven here that if G is a locally graded group whose proper subgroups have the CF-property, then G is abelian-by-finite, provided that all its periodic sections are locally finite. Groups in which all proper subgroups of infinite rank have the CF-property are also studied.
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.
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.
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.
Random Process Generated By The Incomplete Gauss Sums, Emek Demi̇rci̇ Akarsu
Random Process Generated By The Incomplete Gauss Sums, Emek Demi̇rci̇ Akarsu
Turkish Journal of Mathematics
In this paper we explore a random process generated by the incomplete Gauss sums and establish an analogue of weak invariance principle for these sums. We focus our attention exclusively on a generalization of the limit distribution of the long incomplete Gauss sums given by the family of periodic functions analyzed by the author and Marklof.
Sharp Lower Bounds For The Zagreb Indices Of Unicyclic Graphs, Batmend Horoldagva, Kinkar Das
Sharp Lower Bounds For The Zagreb Indices Of Unicyclic Graphs, Batmend Horoldagva, Kinkar Das
Turkish Journal of Mathematics
The first Zagreb index $M_1$ is equal to the sum of the squares of the degrees of the vertices, and the second Zagreb index $M_2$ is equal to the sum of the products of the degrees of pairs of adjacent vertices of the respective graph. In this paper we present the lower bound on $M_1$ and $M_2$ among all unicyclic graphs of given order, maximum degree, and cycle length, and characterize graphs for which the bound is attained. Moreover, we obtain some relations between the Zagreb indices for unicyclic graphs.
Generalized Heineken--Mohamed Type Groups, Orest Artemovych
Generalized Heineken--Mohamed Type Groups, Orest Artemovych
Turkish Journal of Mathematics
We prove that a torsion group G with all subgroups subnormal is a nilpotent group or G=N(A_1 \times \cdots \times A_n) is a product of a normal nilpotent subgroup N and p_i-subgroups A_i, where A_i=A_1^{(i)} \cdots A_{m_i}^{(i)} \lhd G, A_j^{(i)} is a Heineken--Mohamed type group, and p_1, \ldots, p_n are pairwise distinct primes (n\geq 1; i=1, ... ,n; j=1, ... ,m_i and m_i are positive integers).
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.
Moduli Spaces Of Arrangements Of 11 Projective Lines With A Quintuple Point, Meirav Amram, Cheng Gong, Mina Teicher, Wan-Yuan Xu
Moduli Spaces Of Arrangements Of 11 Projective Lines With A Quintuple Point, Meirav Amram, Cheng Gong, Mina Teicher, Wan-Yuan Xu
Turkish Journal of Mathematics
In this paper, we try to classify moduli spaces of arrangements of 11 lines with quintuple points. We show that moduli spaces of arrangements of 11 lines with quintuple points can consist of more than 2 connected components. We also present defining equations of the arrangements whose moduli spaces are not irreducible after taking quotients by the complex conjugation by Maple and supply some "potential Zariski pairs".
Stability Of Perturbed Dynamic System On Time Scales With Initial Time Difference, Coşkun Yakar, Bülent Oğur
Stability Of Perturbed Dynamic System On Time Scales With Initial Time Difference, Coşkun Yakar, Bülent Oğur
Turkish Journal of Mathematics
The behavior of solutions of a perturbed dynamic system with respect to an original unperturbed dynamic system, which have initial time difference, are investigated on arbitrary time scales. Notions of stability, asymptotic stability, and instability with initial time difference are introduced. Sufficient conditions of stability properties are given with the help of Lyapunov-like functions.
Spherically Symmetric Finsler Metrics With Scalar Flag Curvature, Weidong Song, Fen Zhou
Spherically Symmetric Finsler Metrics With Scalar Flag Curvature, Weidong Song, Fen Zhou
Turkish Journal of Mathematics
In this paper, we study spherically symmetric Finsler metrics F= y \phi( x ,\frac{}{ y }), where x \in B^n(r) \subset R^n, y \in T_xB^n(r)\{0} and \phi:[0,r)\times R \rightarrow R. By investigating a PDE equivalent to these metrics being locally projectively flat, we manufacture projectively flat spherically symmetric Finsler metrics in terms of error functions and, using Shen's result, we give its flag curvature.
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.
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.
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. …
Construction Of Self-Reciprocal Normal Polynomials Over Finite Fields Of Even Characteristic, Mahmood Alizadeh, Saeid Mehrabi
Construction Of Self-Reciprocal Normal Polynomials Over Finite Fields Of Even Characteristic, Mahmood Alizadeh, Saeid Mehrabi
Turkish Journal of Mathematics
In this paper, a computationally simple and explicit construction of some sequences of normal polynomials and self-reciprocal normal polynomials over finite fields of even characteristic are presented.
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.
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 $GSp_4$.
Od-Characterization Of Some Alternating Groups, Shitian Liu
Od-Characterization Of Some Alternating Groups, Shitian Liu
Turkish Journal of Mathematics
Let $G$ be a finite group. Moghaddamfar et al. defined prime graph $\Gamma(G)$ of group $G$ as follows. The vertices of $\Gamma(G)$ are the primes dividing the order of $G$ and two distinct vertices $p,q$ are joined by an edge, denoted by $p\sim q$, if there is an element in $G$ of order $pq$. Assume $ G =p_{1}^{\alpha_{1}}\cdots p_{k}^{\alpha_{k}}$ with $P_{1}$ <$\cdots$&\lt;$p_{k}$ and nature numbers $\alpha_{i}$ with $i=1,2,\cdots,k$. For $p\in\pi(G)$, let the degree of $p$ be $\deg(p)= \{q\in\pi(G)\mid q\sim p\} $, and $D(G)=(\deg(p_{1}), \deg(p_{2}), \cdots, \deg(p_{k}))$. Denote by $\pi(G)$ the set of prime divisor of $ G $. Let $GK(G)$ be the graph with vertex set $\pi(G)$ such that two primes $p$ and $q$ in $\pi(G)$ are joined by an edge if $G$ has an element of order $p\cdot q$. We set $s(G)$ to denote the number of connected components of the prime graph $GK(G)$. Some authors proved some groups are $OD$-characterizable with $s(G)\geq2$. Then for $s(G)=1$, what is the influence of $OD$ on the structure of groups? We knew that the alternating groups $A_{p+3}$, where $7\neq p\in\pi(100!)$, $A_{130}$ and $A_{140}$ are $OD$-characterizable. Therefore, we naturally ask the following question: if $s(G)=1$, then is there a group $OD$-characterizable? In this note, we give a characterization of $A_{p+3}$ except $A_{10}$ with $s(A_{p+3})=1$, by $OD$, which gives a positive answer to Moghaddamfar and Rahbariyan's conjecture.
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.
Generalized Weakly Central Reduced Rings, Ying Zhou, Junchao Wei
Generalized Weakly Central Reduced Rings, Ying Zhou, Junchao Wei
Turkish Journal of Mathematics
A ring $R$ is called $GWCN$ if $x^2y^2=xy^2x$ for all $x\in N(R)$ and $y\in R$, which is a proper generalization of reduced rings and $CN$ rings. We study the sufficient conditions for $GWCN$ rings to be reduced and $CN$. We first discuss many properties of $GWCN$ rings. Next, we give some interesting characterizations of left min-abel rings. Finally, with the help of exchange $GWCN$ rings, we obtain some characterizations of strongly regular rings.
Uniquely Strongly Clean Triangular Matrices, Huanyin Chen, Orhan Gürgün, Handan Kose
Uniquely Strongly Clean Triangular Matrices, Huanyin Chen, Orhan Gürgün, Handan Kose
Turkish Journal of Mathematics
A ring $R$ is uniquely (strongly) clean provided that for any $a\in R$ there exists a unique idempotent $e\in R$ \big($e\in comm(a)$\big) such that $a-e\in U(R)$. We prove, in this note, that a ring $R$ is uniquely clean and uniquely bleached if and only if $R$ is abelian, ${\mathbb{T}}_{n}(R)$ is uniquely strongly clean for all $n\geq 1$, i.e. every $n\times n$ triangular matrix over $R$ is uniquely strongly clean, if and only if $R$ is abelian, and ${\mathbb{T}}_{n}(R)$ is uniquely strongly clean for some $n\geq 1$. In the commutative case, more explicit results are obtained.
Quadratic Recursive Towers Of Function Fields Over $\Mathbb{F}_2$, Henning Stichtenoth, Seher Tutdere
Quadratic Recursive Towers Of Function Fields Over $\Mathbb{F}_2$, Henning Stichtenoth, Seher Tutdere
Turkish Journal of Mathematics
Let $\FF=(F_n)_{n\geq 0}$ be a quadratic recursive tower of algebraic function fields over the finite field $\F_2$, i.e. $\FF$ is a recursive tower such that $[F_n:F_{n-1}]=2$ for all $n\geq 1$. For any integer $r\geq 1$, let $\beta_r(\FF):=\lim_{n\to \infty} B_r(F_n)/g(F_n)$, where $B_r(F_n)$ is the number of places of degree $r$ and $g(F_n)$ is the genus, respectively, of $F_n/\F_2$. In this paper we give a classification of all rational functions $f(X,Y)\in \F_2(X,Y)$ that may define a quadratic recursive tower $\FF$ over $\F_2$ with at least one positive invariant $\beta_r(\FF)$. Moreover, we estimate $\beta_1(\FF)$ for each such tower.
Hilbert Series Of The Finite Dimensional Generalized Hecke Algebras, Zaffar Iqbal
Hilbert Series Of The Finite Dimensional Generalized Hecke Algebras, Zaffar Iqbal
Turkish Journal of Mathematics
It is known from the early results of Coxeter that the generalized Hecke algebras $H(Q_{m},3)$, $m\in\{2,3,4,5\}$, are finite dimensional. In this paper we compute the Hilbert series of these finite-type group algebras.
Defect Polynomials And Tutte Polynomials Of Some Asymmetric Graphs, Eunice Mphako-Banda, Toufik Mansour
Defect Polynomials And Tutte Polynomials Of Some Asymmetric Graphs, Eunice Mphako-Banda, Toufik Mansour
Turkish Journal of Mathematics
We give explicit expressions of the Tutte polynomial of asymmetric complete flower graph and asymmetric incomplete flower graph. We then express these Tutte polynomials as generating functions and decode some valuable information about the asymmetric complete flower graph and asymmetric incomplete flower graph. Furthermore, we convert the Tutte polynomials into coboundary polynomials and give explicit expressions of the $k$-defect polynomials of these structures. Finally, we conclude that nonisomorphic graphs in this class have the same Tutte polynomials, the same chromatic polynomials, and the same defect polynomials.
Fiber Product Preserving Bundle Functors On Fibered-Fibered Manifolds, Wlodzimierz M. Mikulski
Fiber Product Preserving Bundle Functors On Fibered-Fibered Manifolds, Wlodzimierz M. Mikulski
Turkish Journal of Mathematics
We introduce the concept of modified vertical Weil functors on the category $\F_2\M_{m_1,m_2}$ of fibered-fibered manifolds with $(m_1,m_2)$-dimensional bases and their local fibered-fibered maps with local fibered diffeomorphisms as base maps. We then describe all fiber product preserving bundle functors on $\F_2\M_{m_1,m_2}$ in terms of modified vertical Weil functors.
On The Second Homology Of The Sch\"{U}Tzenberger Product Of Monoids, Melek Yağci, Leyla Bugay, Hayrullah Ayik
On The Second Homology Of The Sch\"{U}Tzenberger Product Of Monoids, Melek Yağci, Leyla Bugay, Hayrullah Ayik
Turkish Journal of Mathematics
For two finite monoids $S$ and $T$, we prove that the second integral homology of the Sch\"{u}tzenberger product $S\Diamond T$ is equal to $$H_{2}(S\Diamond T)=H_{2}(S)\times H_{2}(T)\times (H_{1}(S)\otimes _{\mathbb Z} H_{1}(T)) $$ as the second integral homology of the direct product of two monoids. Moreover, we show that $S\Diamond T$ is inefficient if there is no left or right invertible element in both $S$ and $T$.
Super D-Anti-Magic Labeling Of Subdivided $Kc_{5}$, Muhammad Hussain, Ali Tabraiz
Super D-Anti-Magic Labeling Of Subdivided $Kc_{5}$, Muhammad Hussain, Ali Tabraiz
Turkish Journal of Mathematics
A graph $(G=(V,E,F))$ admits labeling of type $(1,1,1)$ if we assign labels from the set $ \{1, 2, 3, . . . , V (G) + E(G) + F(G) \}$ to the vertices, edges, and faces of a planar graph $G$ in such a way that each vertex, edge, and face receives exactly one label and each number is used exactly once as a label and the weight of each face under the mapping is the same. Super $d$-antimagic labeling of type $(1,1,1)$ on snake $kC_{5}$, subdivided $kC_{5}$ as well as ismorphic copies of $kC_{5}$ for string $(1,1,...,1)$ and string …
Classification Of Metallic Shaped Hypersurfaces In Real Space Forms, Ci̇han Özgür, Ni̇hal Yilmaz Özgür
Classification Of Metallic Shaped Hypersurfaces In Real Space Forms, Ci̇han Özgür, Ni̇hal Yilmaz Özgür
Turkish Journal of Mathematics
We define the notion of a metallic shaped hypersurface and give the full classification of metallic shaped hypersurfaces in real space forms. We deduce that every metallic shaped hypersurface in real space forms is a semisymmetric hypersurface.