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Articles 1 - 30 of 48
Full-Text Articles in Physical Sciences and Mathematics
Ergodicity Conditions In A Simple Best Effort Queueing Networks, Abdeldjebbar Kandouci, Abdelmadjid Ezzine, Toufik Guendouzi
Ergodicity Conditions In A Simple Best Effort Queueing Networks, Abdeldjebbar Kandouci, Abdelmadjid Ezzine, Toufik Guendouzi
Turkish Journal of Mathematics
No abstract provided.
Semi-Slant Submanifolds Of A Nearly Kaehler Manifold, Viqar Azam Khan, Meraj Ali Khan
Semi-Slant Submanifolds Of A Nearly Kaehler Manifold, Viqar Azam Khan, Meraj Ali Khan
Turkish Journal of Mathematics
The aim in the present paper is to study some basic geometric properties of semi-slant submanifolds of a nearly Kaehler manifold.
On Cartan Spaces With (\Alpha, \Beta)-Metric, H. G. Nagaraja
On Cartan Spaces With (\Alpha, \Beta)-Metric, H. G. Nagaraja
Turkish Journal of Mathematics
É. Cartan [2] has originally introduced a Cartan space, which is considered as dual of Finsler space. H. Rund [10], F. Brickell [1] and others studied the relation between these two spaces. The theory of Hamilton spaces was introduced and studied by R. Miron ([8 , [9]). He proved that Cartan space is a particular case of Hamilton space. T. Igrashi ([5], [6]) introduced the notion of the (\alpha, \beta)-metric in Cartan spaces and obtained the metric tensor and the invariants \rho and r which characterize the special classes of Cartan spaces with (\alpha, \beta)-metric. This paper presents a study …
On Graded Secondary Modules, Shahabaddin Ebrahimi Atani, F. Farzalipour
On Graded Secondary Modules, Shahabaddin Ebrahimi Atani, F. Farzalipour
Turkish Journal of Mathematics
Let G be a group with identity e, and let R be a G-graded commutative ring. Here we study the graded primary submodules of a G-graded R-module and examine when graded submodules of a graded representable module are graded representable. A number of results concerning of these class of submodules are given.
The Compact Metric Space Of The Lattice Of Varieties And ^{*}-Varieties Of C^{*}-Algebras, G. Khalilzadeh, Mohammad Hasan Faroughi
The Compact Metric Space Of The Lattice Of Varieties And ^{*}-Varieties Of C^{*}-Algebras, G. Khalilzadeh, Mohammad Hasan Faroughi
Turkish Journal of Mathematics
Variety of Banach algebras is a non-empty class of Banach algebras in which there exist a family of laws such that all of its members satisfy all of the laws. In this paper, we have used merely mathematical items such as Banach algebras and varieties including Banach algebras in order to change the space of all varieties of Banach algebras into a compact metric space. We prove some theorems in the metric space of zero at infinity varieties, define the ^*-varieties of ^{*}-algebra and prove many theorems about ^*-varieties of C^*-algebras.
Equilibria In A Dipersal Model For Structured Populations, Maref Y. M. Alzoubi
Equilibria In A Dipersal Model For Structured Populations, Maref Y. M. Alzoubi
Turkish Journal of Mathematics
We derive a model for structured population with a two-phase life cycle. Growth and reproduction occur during the first phase. The first phase is followed by a dispersal phase in which individuals are allowed to move throughout a habitat. Also, we prove the existence of a branch of positive equilibria using bifurcation results of Rabinowitz.
On Nuclearity Of Köthe Spaces, Erdal Karapinar, V. Zakharyuta
On Nuclearity Of Köthe Spaces, Erdal Karapinar, V. Zakharyuta
Turkish Journal of Mathematics
In this study we observe that the Köthe space K^{l_p}(A) is nuclear if it is isomorphic to a complemented subspace of K^{l_q}(B) for 1\leq p < q < \infty and p < 2.
Induced Mappings On Boolean Algebras Of Clopen Sets And On Projections Of The C^*-Algebra C(X), Ahmed Al-Rawashdeh, Wasfi Shatanawi
Induced Mappings On Boolean Algebras Of Clopen Sets And On Projections Of The C^*-Algebra C(X), Ahmed Al-Rawashdeh, Wasfi Shatanawi
Turkish Journal of Mathematics
For a compact space X, any group automorphism \varphi of C(X,S^1) induces a mapping \Theta on the Boolean algebra of the clopen subsets of X. We prove that the disjointness of \Theta equivalent to \theta_{\varphi} is an orthoisomorphism on the sets of projections of the C^*-algebra C(X), when \varphi(-1)=-1. Indeed, \Theta is a Boolean isomorphism iff \theta_{\varphi} preserves the product of projections. If X is equipped with a probability measure \mu, on a certain \sigma-algebra of X, we show (under some condition) that \Theta preserves the disjoint of clopen subsets, up to sets of measure zero, or equivalently, the mapping …
Potts Model With Two Competing Binary Interactions, Nasir Ganikhodjaev, Hasan Akin, Seyi̇t Temi̇r
Potts Model With Two Competing Binary Interactions, Nasir Ganikhodjaev, Hasan Akin, Seyi̇t Temi̇r
Turkish Journal of Mathematics
The Potts model on a Cayley tree in the presence of competing two binary interactions and magnetic field is considered. We exactly solve a problem of phase transitions for the model,namely we calculate critical surface such that there is a phase transition above it,and a single Gibbs state found elsewhere.
Some Remarks On The L^P - L^Q Boundedness Of Uc_{\Varphi}, M. R. Jabbarzadeh
Some Remarks On The L^P - L^Q Boundedness Of Uc_{\Varphi}, M. R. Jabbarzadeh
Turkish Journal of Mathematics
In this paper we will consider the weighted composition operators between two different L^p-spaces and then we characterize the functions u and transformations \varphi that induce weighted composition operator uC_{\varphi} between L^p(X, \Sigma, \mu)-spaces by using some properties of conditional expectation operator, pair (u, \varphi) and the measure space (X, \Sigma, \mu).
Braiding For Categorical And Crossed Lie Algebras And Simplicial Lie Algebras, Erdal Ulualan
Braiding For Categorical And Crossed Lie Algebras And Simplicial Lie Algebras, Erdal Ulualan
Turkish Journal of Mathematics
In this work, we give the notion of braiding for categorical Lie algebras and crossed modules of Lie algebras and we give an equivalence between them.
On The Unique Continuation Property For The Higher Order Nonlinear Schrödinger Equation With Constant Coefficients, Vanilde Bisognin, Octavio Paulo Vera Villagran
On The Unique Continuation Property For The Higher Order Nonlinear Schrödinger Equation With Constant Coefficients, Vanilde Bisognin, Octavio Paulo Vera Villagran
Turkish Journal of Mathematics
We solve the unique continuation property: If u is a solution of the higher order nonlinear Schrödinger equation with constant coefficients with t_1 < t_2 which is sufficiently smooth and such that supp u( . , t_j) \subset (a, b), -\infty < a < b < \infty, j = 1, 2, then u \equiv 0.
Real Aspects Of The Moduli Space Of Genus Zero Stable Maps, Seongchun Kwon
Real Aspects Of The Moduli Space Of Genus Zero Stable Maps, Seongchun Kwon
Turkish Journal of Mathematics
We show that the moduli space of genus zero stable maps is a real projective variety if the target space is a smooth convex real projective variety. We show that evaluation maps, forgetful maps are real morphisms. We analyze the real part of the moduli space.
Steepness In Natural Exponential Families, Afif Masmoudi
Steepness In Natural Exponential Families, Afif Masmoudi
Turkish Journal of Mathematics
The present paper studies and develops the notion of steepness in multivariate natural exponential families. Let F = \{P(m,F); m \in M_F\} be a multidimensional natural exponential family parameterized by its domain of the means M_F and let \overline{m} be an element of \partial M_F the means domain boundary. A necessary and sufficient condition for the variance function V_F is established so that the family F be steep at \overline{m} \in \partial M_F. Some characteristic properties of a steep family are given. Also, we investigate the asymptotic behaviour of a steep family F at \overline{m}.
Multipliers And The Relative Completion In L_W^P(G), Cenap Duyar, A. Turan Gürkanli
Multipliers And The Relative Completion In L_W^P(G), Cenap Duyar, A. Turan Gürkanli
Turkish Journal of Mathematics
Quek and Yap defined a relative completion à for a linear subspace A of L^p(G), 1 \leq p < \infty ; and proved that there is an isometric isomorphism, between Hom_{L^1(G)}(L^1(G), A) and Ã, where Hom_{L^1(G)}(L^1(G),A) is the space of the module homomorphisms (or multipliers) from L^1(G) to A. In the present, we defined a relative completion à for a linear subspace A of L_w^p(G) ,where w is a Beurling's weighted function and L_w^p(G) is the weighted L^p(G) space, ([14]). Also, we proved that there is an algeabric isomorphism and homeomorphism, between Hom_{L_w^1(G)} (L_w^1(G),A) and Ã. At the end of this work we gave some applications and examples.
The Construction Of Maximum Independent Set Of Matrices Via Clifford Algebras, Nedi̇m Deği̇rmenci̇, Nüli̇fer Özdemi̇r
The Construction Of Maximum Independent Set Of Matrices Via Clifford Algebras, Nedi̇m Deği̇rmenci̇, Nüli̇fer Özdemi̇r
Turkish Journal of Mathematics
In [1], [2] and [6] the maximum number of some special type n x n matrices with elements in F whose nontrivial linear combinations with real coefficients are nonsingular is studied where F is the real field R, the complex field C or the skew field H of quaternions. In this work we construct such matrices explicitly by using representations of Clifford algebras. At the end we give some analogues of the celebrated theorem of Radon-Hurwitz.
On The Normalizer Of The Congruence Subgroup H_0^5(I) Of The Hecke Group H^5, Süleyman Uzun
On The Normalizer Of The Congruence Subgroup H_0^5(I) Of The Hecke Group H^5, Süleyman Uzun
Turkish Journal of Mathematics
Let l = 2 cos \frac{\pi}{5} and let H^5 be the Hecke group associated to l. In this paper, the normalizers of the congruence subgroups H_0^5(I) in PSL(2Z[\lambda]) are studied in the case where I = (2)^aI ', (2, I') = 1 and I' is a prime ideal.
An Investigation On A Subclass Of P-Valently Starlike Functions In The Unit Disc, Yaşar Polatoğlu, Meti̇n Bolcal, Arzu Şen, Emel Yavuz Duman
An Investigation On A Subclass Of P-Valently Starlike Functions In The Unit Disc, Yaşar Polatoğlu, Meti̇n Bolcal, Arzu Şen, Emel Yavuz Duman
Turkish Journal of Mathematics
Let A_p denote the class of functions of the form f(z) = z^p+a_{p+1}z^{p+1}+a_{p+2}z^{p+2}+ ··· which are regular and p-valent in the open unit disc D = {z : z < 1}. Let M_p(\alpha) be the subclass of A_p consisting of functions f(z) which satisfy Re ( z \frac{f'(z)}{f(z)}) < \alpha, (z \in D) for some real \alpha (\alpha > 1). The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class M_p(\alpha).
Estimates For Fourier Transform Of Measures Supported On Singular Hypersurfaces, Isroil A. Ikromov
Estimates For Fourier Transform Of Measures Supported On Singular Hypersurfaces, Isroil A. Ikromov
Turkish Journal of Mathematics
We consider hypersurfaces S \subset \RR^3 with zero Gaussian curvature at every ordinary point with surface measure dS and define the surface measure d\mu = \psi(x)dS(x) for smooth function \psi with compact support. We obtain uniform estimates for the Fourier transform of measures concentrated on such hypersurfaces. We show that due to the damping effect of the surface measure the Fourier transform decays faster than O( \xi ^{-1/h}), where h is the height of the phase function. In particular, Fourier transform of measures supported on the exceptional surfaces decays in the order O( \xi ^{-1/2}) (as \xi \to +\infty).
Spectral Problems For Operator Pencils In Non-Separated Root Zones, Mahi̇r Hasanov
Spectral Problems For Operator Pencils In Non-Separated Root Zones, Mahi̇r Hasanov
Turkish Journal of Mathematics
Variational principles for real eigenvalues of self-adjoint operator pencils in non-separated root zones are studied.
Uniqueness Of Coprimary Decompositions, M. Maani-Shirazi, P. F. Smith
Uniqueness Of Coprimary Decompositions, M. Maani-Shirazi, P. F. Smith
Turkish Journal of Mathematics
Uniqueness properties of coprimary decompositions of modules over non-commutative rings are presented.
Slant Submanifolds Of Kaehler Product Manifolds, Bayram Şahi̇n, Sadik Keleş
Slant Submanifolds Of Kaehler Product Manifolds, Bayram Şahi̇n, Sadik Keleş
Turkish Journal of Mathematics
In this paper, we study slant submanifolds of a Kaehler product manifold. We show that an F-invariant slant submanifold of Kaehler product manifold is a product manifold. We also obtain some curvature inequalities in terms of scalar curvature and Ricci tensor.
Traces Of Maximal Ideals Of Topological Algebras In Their Subalgebras, Mart Abel, Mati Abel
Traces Of Maximal Ideals Of Topological Algebras In Their Subalgebras, Mart Abel, Mati Abel
Turkish Journal of Mathematics
Let K be one of the fields R or C, A a topological associative algebra over K with separately continuous multiplication, B a subalgebra of A and M a closed maximal regular left (right or two-sided) ideal of A such that the trace M \cap B of M is a proper subset of B. In cases, when B is a Gelfand-Mazur subalgebra of A or a subalgebra of the centre Z(A) of A, such classes of topological algebras in which M \cap B (in the subset topology) is a closed maximal regular left (respectively, right or two-sided) ideal of B, …
A Generalization Of Ankeny And Rivlin's Result On The Maximum Modulus Of Polynomials Not Vanishing In The Interior Of The Unit Circle, V. K. Jain
Turkish Journal of Mathematics
For an arbitrary entire function f(z), let M(f,r) = max_{ z =r} f(z) . For a polynomial p(z) of degree n, it is known that M(p,R) \leq R^n M(p,1), R > 1. By considering the polynomial p(z) with no zeros in z < 1, Ankeny and Rivlin obtained the refinement M(p,R) \leq {(R^n+1)/2}M(p,1), R > 1. By considering the polynomial p(z) with no zeros in z < k, (k \geq 1) and simultaneously thinking of s^{\rm th} derivative (0 \leq s < n) of the polynomial, we have obtained the generalization \begin{displaymath} M(p^{(s)},R) \leq \left\{\begin{array}{l} (1/2){\frac{d^s}{dR^s}(R^n + k^n)}(2/(1+k))^nM(p,1), R \geq k,\ (1/(R^s+k^s))[{\frac{d^s}{dx^s}(1+x^n)}_{x=1}]((R+k)/(1+k))^nM(p,1), 1 \leq R \leq k,\end{array}\right. of Ankeny and Rivlin's result.
Quasi-Permutation Representations Of Groups Of Order 64, Houshang Behravesh, Ghodrat Ghaffarzadeh
Quasi-Permutation Representations Of Groups Of Order 64, Houshang Behravesh, Ghodrat Ghaffarzadeh
Turkish Journal of Mathematics
In [1], we gave algorithms to calculate c(G), q(G) and p(G) for a finite group G. In this paper, we will calculate c(G), q(G), p(G) for non-abelian groups G, where G =64.
On Modular Lie Representations Of Finite Groups, R. M. Bryant, Ralph Stöhr
On Modular Lie Representations Of Finite Groups, R. M. Bryant, Ralph Stöhr
Turkish Journal of Mathematics
We give a new and substantially simplified proof of a key technical result in the theory of modular Lie representations of finite groups.
Noetherian Hopf Algebras, Kenneth A. Brown
Noetherian Hopf Algebras, Kenneth A. Brown
Turkish Journal of Mathematics
This short survey article reviews our current state of understanding of the structure of noetherian Hopf algebras. The focus is on homological properties. A number of open problems are listed.
Commutators, Words, Conjugacy Classes And Character Methods, Aner Shalev
Commutators, Words, Conjugacy Classes And Character Methods, Aner Shalev
Turkish Journal of Mathematics
In this survey paper we show how character methods can be used to solve a wide range of seemingly unrelated problems. These include commutators, powers of conjugacy classes and related random walks, as well as word maps and Waring type problems. In particular we describe recent progress made on conjectures of Ore, of Thompson, and of Lulov and Pak. New open problems and conjectures are also stated.
Centralizers In Locally Finite Groups, Pavel Shumyatsky
Centralizers In Locally Finite Groups, Pavel Shumyatsky
Turkish Journal of Mathematics
The topic of the present paper is the following question. Let G be a locally finite group admitting an automorphism \phi of finite order such that the centralizer C_G(\phi) satisfies certain finiteness conditions. What impact does this have on the structure of the group G? Equivalently, one can ask the same question when \phi is an element of G. Sometimes the impact is quite strong and the paper is a survey of results illustrating this phenomenon. In particular, we concentrate on results where G is shown to have a large nilpotent or soluble subgroup. Naturally, in each case the result …
Hartley´S Theorem On Representations Of The General Linear Groups And Classical Groups, A. E. Zalesski
Hartley´S Theorem On Representations Of The General Linear Groups And Classical Groups, A. E. Zalesski
Turkish Journal of Mathematics
We suggest a new proof of Hartley's theorem on representations of the general linear groups GL_n(K) where K is a field. Let H be a subgroup of GL_n(K) and E the natural GL_n(K)-module. Suppose that the restriction E _H of E to H contains a regular KH-module. The theorem asserts that this is then true for an arbitrary GL_n(K)-module M provided dim M>1 and H is not of exponent 2. Our proof is based on the general facts of representation theory of algebraic groups. In addition, we provide partial generalizations of Hartley's theorem to other classical groups.