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The Homological Theory Of Degree Of Fql-Mappings, Aki̇f Abbasov
The Homological Theory Of Degree Of Fql-Mappings, Aki̇f Abbasov
Turkish Journal of Mathematics
In this article the homological theory is specially worked out, ìadaptedî for definition of the degree of mapping from one of the classes of infinite-dimensional mappings, exactly FQL-mappings, introduced in [7].
Finite Groups All Of Whose Abelian Subgroups Of Equal Order Are Conjugate, Sezgi̇n Sezer, Robert W. Van Der Waall
Finite Groups All Of Whose Abelian Subgroups Of Equal Order Are Conjugate, Sezgi̇n Sezer, Robert W. Van Der Waall
Turkish Journal of Mathematics
In this paper we classify the finite groups whose abelian subgroups of equal order (B^*-groups) are conjugate. The classification has been achieved by means of a lot of general structure properties of B^*-groups, provided in the course of the paper.
Quasi-Dual Modules, M. Tamer Koşan
Quasi-Dual Modules, M. Tamer Koşan
Turkish Journal of Mathematics
Let R be a ring, M be a right R-module and S = End_R(M). M is called a quasi-dual module if, for every R-submodule N of M, N is a direct summand of r_M(X) where X \subseteq S. In this article, we study and provide several characterizations of this module classes. We show that if M is quasi-dual module, then, for all m \in M, r_M \ell_S(m) = mR \oplus K for some submodule K of M. We also show that every quasi-dual module is a Kasch module and Z(_SM) \subseteq Rad (M_R).
Decompositions Of Continuity, Talal Al-Hawary, Ahmad Al-Omari
Decompositions Of Continuity, Talal Al-Hawary, Ahmad Al-Omari
Turkish Journal of Mathematics
In 2004, Al-Hawary and Al-Omari introduced and explored the class of \omega^o-open sets which is strictly stronger than the class of \omega-open sets and weaker than that of open sets. In this paper, we introduce what we call \omega^o-continuity and \omega_X^o-continuity and we give several characterizations and two decompositions of \omega ^o-continuity. Finally, new decompositions of continuity are provided.
On Lifts Of Paracomplex Structures, Mehmet Tekkoyun
On Lifts Of Paracomplex Structures, Mehmet Tekkoyun
Turkish Journal of Mathematics
In this paper, we obtain vertical, complete and horizontal lifts of paracomplex geometric structures on paracomplex manifolds to its tangent bundle. Also, we obtain integrability on paracomplex tangent bundle.
A Fractal Example Of A Continuous Monotone Function With Vanishing Derivatives On A Dense Set And Infinite Derivatives On Another Dense Set, Bünyami̇n Demi̇r, Vakif Dzhafarov, Şahi̇n Koçak, Mehmet Üreyen
A Fractal Example Of A Continuous Monotone Function With Vanishing Derivatives On A Dense Set And Infinite Derivatives On Another Dense Set, Bünyami̇n Demi̇r, Vakif Dzhafarov, Şahi̇n Koçak, Mehmet Üreyen
Turkish Journal of Mathematics
Inspired by the theory of analysis on fractals, we construct an example of a continuous, monotone function on an interval, which has vanishing derivatives on a dense set and infinite derivatives on another dense set. Although such examples could be constructed by classical means of probability and measure theory, this one is more elementary and emerges naturally as a byproduct of some new fractal constructions.
On Uniform Hermitian P-Normed Algebras, A. El-Kinani
On Uniform Hermitian P-Normed Algebras, A. El-Kinani
Turkish Journal of Mathematics
We show that the completion of a uniform hermitian p-normed algebra is a commutative C^*-algebra.
On The Power Subgroups Of The Extended Modular Group \Overline{\Gamma} (Corrigendum - Turk. J. Math. 28,143-151, 2004), Recep Şahi̇n, Sebahatti̇n İki̇kardeş, Özden Koruoğlu
On The Power Subgroups Of The Extended Modular Group \Overline{\Gamma} (Corrigendum - Turk. J. Math. 28,143-151, 2004), Recep Şahi̇n, Sebahatti̇n İki̇kardeş, Özden Koruoğlu
Turkish Journal of Mathematics
No abstract provided.
Pullbacks Of Crossed Modules And Cat^1- Commutative Algebras, Murat Alp
Pullbacks Of Crossed Modules And Cat^1- Commutative Algebras, Murat Alp
Turkish Journal of Mathematics
In this paper we first review the definitions of crossed module [10], pullback crossed module and cat^1-object in the category of commutative algebras. We then describe a certain pullback of cat^1- commutative algebras.
Connectedness In Isotonic Spaces, Eissa D. Habil, Khalid A. Elzenati
Connectedness In Isotonic Spaces, Eissa D. Habil, Khalid A. Elzenati
Turkish Journal of Mathematics
An isotonic space (X,cl) is a set X with isotonic operator cl:P(X) \to P(X) which satisfies cl(\emptyset) = \emptyset and cl(A)\subseteq cl(B) whenever A\subseteq B\subseteq X. Many properties which hold in topological spaces hold in isotonic spaces as well. The notion of connectedness that is familiar from topological spaces generalizes to isotonic spaces. We further extend the notions of Z-connectedness and strong connectedness to isotonic spaces, and we indicate the intimate relationship between these notions.
On Reduced And Semicommutative Modules, Muhi̇tti̇n Başer, Nazim Agayev
On Reduced And Semicommutative Modules, Muhi̇tti̇n Başer, Nazim Agayev
Turkish Journal of Mathematics
In this paper, various results of reduced and semicommutative rings are extended to reduced and semicommutative modules. In particular, we show: (1) For a principally quasi-Baer module, M_R is semicommutative if and only if M_R is reduced. (2) If M_R is a p.p.-module then M_R is nonsingular.
A Survey On The Distribution Of B-Free Numbers, Emre Alkan, Alexandru Zaharescu
A Survey On The Distribution Of B-Free Numbers, Emre Alkan, Alexandru Zaharescu
Turkish Journal of Mathematics
In this paper we present a survey of recent progress on the distribution of B-free numbers in short intervals and some of its applications.
Existence Of Linear-Quadratic Regulator For Degenerate Diffusions, Md. Azizul Baten
Existence Of Linear-Quadratic Regulator For Degenerate Diffusions, Md. Azizul Baten
Turkish Journal of Mathematics
This paper studies a linear regulatory quadratic control problem for degenerate Hamilton-Jacobi-Bellman (HJB) equation. We establish the existence of a unique viscosity and a classical solution of the degenerate HJB equation associated with this problem by the technique of viscosity solutions, and, hence, derive an optimal control from the optimality conditions in the HJB equation.
Two-Weight Norm Inequalities For Some Anisotropic Sublinear Operators, Yusuf Zeren, V. S. Guliyev
Two-Weight Norm Inequalities For Some Anisotropic Sublinear Operators, Yusuf Zeren, V. S. Guliyev
Turkish Journal of Mathematics
In this paper, we establish several general theorems for the boundedness of the anisotropic sublinear operators on a weighted Lebesgue space. Conditions of these theorems are satisfied by many important operators in analysis. We also give some applications the boundedness of the parabolic singular integral operators, and the maximal operators associated with them from one weighted Lebesgue space to another one. Using this results, we prove weighted embedding theorems for the anisotropic Sobolev spaces W_{\omega_0,\omega_1,...,\omega_n}^{l_1,...,l_n}(\Rn).
On Graded Weakly Prime Ideals, Shahabaddin Ebrahimi Atani
On Graded Weakly Prime Ideals, Shahabaddin Ebrahimi Atani
Turkish Journal of Mathematics
Let G be an arbitrary group with identity e, and let R be a G-graded commutative ring. Weakly prime ideals in a commutative ring with non-zero identity have been introduced and studied in [1]. Here we study the graded weakly prime ideals of a G-graded commutative ring. A number of results concerning graded weakly prime ideals are given. For example, we give some characterizations of graded weakly prime ideals and their homogeneous components.
Diagonal Lift In The Tangent Bundle Of Order Two And Its Applications, Fouzi Hathout, H. M. Dida
Diagonal Lift In The Tangent Bundle Of Order Two And Its Applications, Fouzi Hathout, H. M. Dida
Turkish Journal of Mathematics
In this paper we define a diagonal lift ^{D}g of Riemannian metric g of manifold M_n to the tangent bundle of order two denoted by T^{2}M_n of M_n, we associate to ^{D}g its Levi-civita connection of T^2 M and we investigate applications of the diagonal lifts in the killing vectors and geodesics.
Note On Generalized Jordan Derivations Associate With Hochschild 2-Cocycles Of Rings, Atsushi Nakajima
Note On Generalized Jordan Derivations Associate With Hochschild 2-Cocycles Of Rings, Atsushi Nakajima
Turkish Journal of Mathematics
We introduce a new type of generalized derivations associate with Hochschild 2-cocycles and prove that every generalized Jordan derivation of this type is a generalized derivation under certain conditions. This result contains the results of I. N. Herstein [6, Theorem 3.1] and M. Ashraf and N-U. Rehman [1, Theorem].
Weighted Norm Inequalities For A Class Of Rough Maximal Operators, Hussain Al-Qassem
Weighted Norm Inequalities For A Class Of Rough Maximal Operators, Hussain Al-Qassem
Turkish Journal of Mathematics
We consider maximal singular integral operators arising from rough kernels satisfying an H^1-type condition on the unit (n-1)-sphere and prove weighted L^p estimates for certain radial weights. We also prove weighted L^p estimates with A_p-weights where in this case the H^1 -type condition is replaced by an L^q-type condition with q > 1. Some applications of these results are also obtained regarding singular integrals and Marcinkiewicz integrals. Our results are essential extensions and improvements of some known results.
A Note On Kaehlerian Manifolds, Nejmi̇ Cengi̇z, Ö. Tarakçi, A. A. Sali̇mov
A Note On Kaehlerian Manifolds, Nejmi̇ Cengi̇z, Ö. Tarakçi, A. A. Sali̇mov
Turkish Journal of Mathematics
The main purpose of the present paper is to study nearly Kaehlerian manifolds. We give the condition for an almost Hermitian manifold to be nearly Kaehlerian.
Local Fourier Bases And Modulation Spaces, Salti Samarah, Rania Salman
Local Fourier Bases And Modulation Spaces, Salti Samarah, Rania Salman
Turkish Journal of Mathematics
It is shown that local Fourier bases are unconditional bases for modulation spaces. We prove first a version of the Schur test for double sequence with mixed norm and then use it to show boundedness of the analysis operator on the modulation space M_{p,q}^w
Quasi Separation Axioms, Mohammad S. Sarsak
Quasi Separation Axioms, Mohammad S. Sarsak
Turkish Journal of Mathematics
In [5], Maheshwari et al. introduced and studied some new separation axioms, namely, quasi semi T_i axioms where i \in {0, 1, 2}, the quasi semi T_{1/2} axiom was then introduced and investigated by Gyu-Ihn et al. in [2]. In the present paper we introduce and study quasi T_i axioms, i \in {0, 1 / 2, 1, 2} as a special variety of quasi semi T_i axioms, the class of quasi T_{1/2} (respectively, quasi T_1) bitopological spaces is placed between quasi T_0 (respectively, quasi T_{1/2}) bitopological spaces and quasi T_1 (respectively, quasi T_2) bitopological spaces. Among several counter examples we …
The Restriction And The Continuity Properties Of Potentials Depending On \Lambda-Distance, M. Zeki̇ Sarikaya, Hüseyi̇n Yildirim
The Restriction And The Continuity Properties Of Potentials Depending On \Lambda-Distance, M. Zeki̇ Sarikaya, Hüseyi̇n Yildirim
Turkish Journal of Mathematics
In this study we establish theorems on the restriction and continuity of the generalized Riesz potentials with the non-isotropic kernels depending on \lambda-distance.
The Radius Of Starlikeness P-Valently Analytic Functions In The Unit Disc, Yaşar Polatoğlu, Meti̇n Bolcal, Arzu Şen, H. Esra Özkan
The Radius Of Starlikeness P-Valently Analytic Functions In The Unit Disc, Yaşar Polatoğlu, Meti̇n Bolcal, Arzu Şen, H. Esra Özkan
Turkish Journal of Mathematics
In the present paper we shall give the radius of starlikeness for the classes of p-valent analytic functions in the unit disc D = { z z < 1 }.
Some Random Fixed Point Theorems For Non-Self Nonexpansive Random Operators, Poom Kumam, Somyot Plubtieng
Some Random Fixed Point Theorems For Non-Self Nonexpansive Random Operators, Poom Kumam, Somyot Plubtieng
Turkish Journal of Mathematics
Let (\Omega, \Sigma) be a measurable space, with \sum a sigma-algebra of subsets of \Omega, and let E be a nonempty bounded closed convex and separable subset of a Banach space X, whose characteristic of noncompact convexity is less than 1. We prove that a multivalued nonexpansive, non-self operator T: \Omega \times E \rightarrow KC(X) satisfying an inwardness condition and itself being a 1-\chi-contractive nonexpansive mapping has a random fixed point. We also prove that a multivalued nonexpansive, non-self operator T:\Omega\times E\rightarrow KC(X) with a uniformly convex X satisfying an inwardness condition has a random fixed point.
Remarks About Some Weierstrass Type Results, Mihai Turinici
Remarks About Some Weierstrass Type Results, Mihai Turinici
Turkish Journal of Mathematics
The Weierstrass type results of Gajek and Zagrodny [7] are not in general retainable in the precise context. Our first aim in this exposition is to show that a completion of the imposed conditions may be offered so that these results be true. As a second aim, alternate proofs of the statements in question are performed, via ordering principles comparable with the one in Brezis and Browder [3].
Asymptotic Formulas For The Resonance Eigenvalues Of The Schrödinger Operator, Sedef Karakiliç, O. A. Veli̇ev, Ş. Atilgan
Asymptotic Formulas For The Resonance Eigenvalues Of The Schrödinger Operator, Sedef Karakiliç, O. A. Veli̇ev, Ş. Atilgan
Turkish Journal of Mathematics
In this paper, we consider the Schrödinger operators defined by the differential expression Lu= - \Delta u + q(x)u in d-dimensional paralellepiped F, with the Dirichlet and the Neumann boundary conditions, where q(x) is a real valued function of L_2(F). We obtain the asymptotic formulas for the resonance eigenvalues of these operators