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Full-Text Articles in Physical Sciences and Mathematics

On Dimension Of Modules, S. Karimzadeh, Reza Nekooei Jan 2007

On Dimension Of Modules, S. Karimzadeh, Reza Nekooei

Turkish Journal of Mathematics

In this paper we prove the lying over and going down theorems for modules. Finally, we apply the above theorems and prove some results on the dimension of a module and its submodule.


Some Curvature Tensors On A Trans-Sasakian Manifold, C. S. Bagewadi, --- Venkatesha Jan 2007

Some Curvature Tensors On A Trans-Sasakian Manifold, C. S. Bagewadi, --- Venkatesha

Turkish Journal of Mathematics

The object of the present paper is to study the geometry of trans-Sasakian manifold when it is projectively semi-symmetric, Weyl semi-symmetric and concircularly semi-symmetric.


Lightlike Hypersurfaces Of Semi-Euclidean Spaces Satisfying Curvature Conditions Of Semisymmetry Type, Bayram Şahi̇n Jan 2007

Lightlike Hypersurfaces Of Semi-Euclidean Spaces Satisfying Curvature Conditions Of Semisymmetry Type, Bayram Şahi̇n

Turkish Journal of Mathematics

In this paper, we investigate lightlike hypersurfaces which are semi-symmetric, Ricci semi-symmetric, parallel or semi-parallel in a semi-Euclidean space. We obtain that every screen conformal lightlike hypersurface of the Minkowski spacetime is semi-symmetric. For higher dimensions, we show that the semi-symmetry condition of a screen conformal lightlike hypersurface reduces to the semi-symmetry condition of a leaf of its screen distribution. We also obtain that semi-symmetric and Ricci semi-symmetric lightlike hypersurfaces are totally geodesic under certain conditions. Moreover, we show that there exist no non-totally geodesic parallel hypersurfaces in a Lorentzian space.


On P-Sasakian Manifolds Satisfying Certain Conditions On The Concircular Curvature Tensor, Ci̇han Özgür, Mukut Mani Tripathi Jan 2007

On P-Sasakian Manifolds Satisfying Certain Conditions On The Concircular Curvature Tensor, Ci̇han Özgür, Mukut Mani Tripathi

Turkish Journal of Mathematics

We classify P-Sasakian manifolds, which satisfy the conditions Z(\xi ,X) · Z = 0, Z(\xi ,X) · R = 0, R(\xi ,X) · Z = 0, Z(\xi ,X) · S = 0 and Z(\xi ,X) · C = 0.


Rayleigh Number In A Stability Problem For A Micropolar Fluid, Ioana Florica Dragomirescu Jan 2007

Rayleigh Number In A Stability Problem For A Micropolar Fluid, Ioana Florica Dragomirescu

Turkish Journal of Mathematics

Approximate numerical evaluations of the Rayleigh number are obtained for a stability problem of thermal convection in a heat-conducting micropolar fluid layer between two rigid boundaries [7]. The influences of all the physical parameters on the values of the Rayleigh number are studied. Also, approximate neutral curves and neutral surfaces are represented in various parameters spaces.


Extreme Points Of Certain Subsets Of Hermitian Elements In Banach Algebras, Gerd Herzog, Christoph Schmoeger Jan 2007

Extreme Points Of Certain Subsets Of Hermitian Elements In Banach Algebras, Gerd Herzog, Christoph Schmoeger

Turkish Journal of Mathematics

We consider the real Banach spaces H(A) of all hermitian elements of a complex Banach algebra A. We prove that if an even power of a \in N(A) is hermitian, then a is an extreme point of the unit ball of H(A) if and only if a^2 = 1. Moreover, if an odd power of a \in H(A) is hermitian and a is an extreme point of the unit ball of H(A), then a^3 = a.


Higher Order Generalization Of Positive Linear Operators Defined By A Class Of Borel Measures, Oktay Duman Jan 2007

Higher Order Generalization Of Positive Linear Operators Defined By A Class Of Borel Measures, Oktay Duman

Turkish Journal of Mathematics

In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2]. Then, using the concept of A-statistical convergence we obtain some approximation results which are stronger than the aspects of the classical approximation theory.


Closure Of Minimal Extensions, M. El Hajoui, A. Miri Jan 2007

Closure Of Minimal Extensions, M. El Hajoui, A. Miri

Turkish Journal of Mathematics

Let R be a commutative ring with a unit and M an R-module. In this paper we give a comparison between the F-closure in M of an R-submodule having a minimal extension and the closure of this minimal extension for the same Gabriel topology defined on the ring R. If J(R) \in F we prove that both closures are the same. Moreover, if R is Artinian or semi-simple then the converse also holds.


The Generalized Hyers--Ulam--Rassias Stability Of A Cubic Functional Equation, Abbas Najati Jan 2007

The Generalized Hyers--Ulam--Rassias Stability Of A Cubic Functional Equation, Abbas Najati

Turkish Journal of Mathematics

In this paper, we obtain the general solution and the generalized Hyers--Ulam--Rassias stability for a cubic functional equation f(mx+y)+f(mx-y)=mf(x+y)+mf(x-y)+2(m^3-m)f(x) for a positive integer m \geq 1.


Locally Finite Simple Moufang Loops, J. I. Hall Jan 2007

Locally Finite Simple Moufang Loops, J. I. Hall

Turkish Journal of Mathematics

A Moufang loop is a binary system that satisfies a particular weak form of the associative law. Doro and Glauberman observed that there is a direct connection between simple Moufang loops and simple groups with triality. Using this correspondence, Liebeck proved that nonassociative finite simple Moufang loops arise from split octonion algebras over finite fields. We extend Liebeck's theorem to the case of locally finite simple Moufang loops.


Lengths Of Subsets In Coxeter Groups, Sarah B. Hart, Peter J. Rowley Jan 2007

Lengths Of Subsets In Coxeter Groups, Sarah B. Hart, Peter J. Rowley

Turkish Journal of Mathematics

No abstract provided.


Barely Transitive Groups, Mahmut Kuzucuoğlu Jan 2007

Barely Transitive Groups, Mahmut Kuzucuoğlu

Turkish Journal of Mathematics

This is a survey article on barely transitive groups. It also involves some recent results in the case of a non-locally finite barely transitive group.


A Non-Linear Locally Finite Simple Group With A P-Group As Centralizer, U. Meierfrankenfeld Jan 2007

A Non-Linear Locally Finite Simple Group With A P-Group As Centralizer, U. Meierfrankenfeld

Turkish Journal of Mathematics

We show that there exists a non-linear, locally finite, simple group such that the centralizer of every non-trivial element is (locally solvable)-by-finite.


Linear Automorphism Groups Of Relatively Free Groups, A. Yu. Olshanskii Jan 2007

Linear Automorphism Groups Of Relatively Free Groups, A. Yu. Olshanskii

Turkish Journal of Mathematics

Let G be a free group in a variety of groups, but G is not absolutely free. We prove that the group of automorphisms Aut(G) is linear if and only if G is a finitely generated virtually nilpotent group.


Finitary Actions And Invariant Ideals, D. S. Passman Jan 2007

Finitary Actions And Invariant Ideals, D. S. Passman

Turkish Journal of Mathematics

Let K be a field and let G be a group. If G acts on an abelian group V, then it acts naturally on any group algebra K[V], and we are concerned with classifying the G-stable ideals of K[V]. In this paper, we consider a rather concrete situation. We take G to be an infinite locally finite simple group acting in a finitary manner on V. When G is a finitary version of a classical linear group, then we show that the augmentation ideal \omega K[G] is the unique proper G-stable ideal of K[V]. On the other hand, if G …


Inequality For Ricci Curvature Of Slant Submanifolds In Cosymplectic Space Forms, Dae Won Yoon Jan 2006

Inequality For Ricci Curvature Of Slant Submanifolds In Cosymplectic Space Forms, Dae Won Yoon

Turkish Journal of Mathematics

In this article, we establish inequalities between the Ricci curvature and the squared mean curvature, and also between the k-Ricci curvature and the scalar curvature for a slant, semi-slant and bi-slant submanifold in a cosymplectic space form of constant \varphi-sectional curvature with arbitrary codimension.


Remarks About Some Weierstrass Type Results, Mihai Turinici Jan 2006

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].


Quasi Separation Axioms, Mohammad S. Sarsak Jan 2006

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 …


Decompositions Of Continuity, Talal Al-Hawary, Ahmad Al-Omari Jan 2006

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.


The Pitch And The Pseudo Angle Of Pitch Of A Closed Piece Of (K+1)-Dimensional Ruled Surface In R_\Nu^N, Ayşe Altin Jan 2006

The Pitch And The Pseudo Angle Of Pitch Of A Closed Piece Of (K+1)-Dimensional Ruled Surface In R_\Nu^N, Ayşe Altin

Turkish Journal of Mathematics

In this paper, we define the closed piece of ruled surface, the pitch and the pseudo angle of pitch of a closed piece of ruled surface and calculate these values in Minkowski space R_\nu^n= (R ^n,-\sum^{\nu}_{i=1}dx_i+\sum^n_{i=\nu+1}dx_i).


Second-Order Nonlinear Three Point Boundary-Value Problems On Time Scales, S. Gülşan Topal Jan 2006

Second-Order Nonlinear Three Point Boundary-Value Problems On Time Scales, S. Gülşan Topal

Turkish Journal of Mathematics

We consider a second order three point boundary value problem for dynamic equations on time scales and establish criteria for the existence of at least two positive solutions of an eigenvalue problem by an application of a fixed point theorem in cones. Existence result for non-eigenvalue problem is also given by the monotone method.


P-Elastica In The 3-Dimensional Lorentzian Space Forms, Nevi̇n Gürbüz Jan 2006

P-Elastica In The 3-Dimensional Lorentzian Space Forms, Nevi̇n Gürbüz

Turkish Journal of Mathematics

R Huang worked the p-elastic in a Riemannian manifold with constant sectional curvature [1]. In this work, we solve the Euler-Lagrange equation by quadrature and study the Frenet equation of the p-elastica by using the Killing field in the three dimensional Lorentzian space forms


Existence Of Periodic Solutions For Second Order Rayleigh Equations With Piecewise Constant Argument, Gen-Qiang Wang, Sui Sun Cheng Jan 2006

Existence Of Periodic Solutions For Second Order Rayleigh Equations With Piecewise Constant Argument, Gen-Qiang Wang, Sui Sun Cheng

Turkish Journal of Mathematics

Based on a continuation theorem of Mawhin, periodic solutions are found for the second-order Rayleigh equation with piecewise constant argument.


On Irregular Semi Strong P-Adic U Numbers, Hülya Duru Jan 2006

On Irregular Semi Strong P-Adic U Numbers, Hülya Duru

Turkish Journal of Mathematics

The concept of the ``relation of comparability'' was introduced by Maillet in [7], who showed that if \alpha,\beta are comparable Liouville numbers then each of the numbers \alpha +\beta, \alpha -\beta, \alpha \beta and \alpha /\beta is either a rational or Lioville number. Moreover those which are Liouville numbers are comparable aamong theem and to \alpha and \beta. Maillet's proof uses in an essential way the transitivity of the comparability relation. Unfortunately, as the comparability relation is not transitive, his proof is defective. In this paper, without using the comparability relation, we obtain some uncountable subfields of p-adic numbers field, …


On Cauchy's Bound For Zeros Of A Polynomial, V. K. Jain Jan 2006

On Cauchy's Bound For Zeros Of A Polynomial, V. K. Jain

Turkish Journal of Mathematics

In this note, we improve upon Cauchy's classical bound, and upon some recent bounds for the moduli of the zeros of a polynomial.


On Finitary Permutation Groups, Ali̇ Osman Asar Jan 2006

On Finitary Permutation Groups, Ali̇ Osman Asar

Turkish Journal of Mathematics

In this work we give some sufficient conditions under which the structure of a transitive group of finitary permutations on an infinite set can be determined from the structure of a point stabilizer. Also, we give some sufficient conditions for the existence of a proper subgroup having an infinite orbit in a totally imprimitive p-group of finitary permutations. These results, with the help of some known results, give sufficient conditions for the nonexistence of a perfect locally finite minimal non FC - (p-group).


On Certain Modified Meyer-König And Zeller Operators, Lucyna Rempulska, Karolina Tomczak Jan 2006

On Certain Modified Meyer-König And Zeller Operators, Lucyna Rempulska, Karolina Tomczak

Turkish Journal of Mathematics

We introduce certain modified Meyer-König and Zeller operators and we study their approximation properties. The similar results for modified Bernstein polynomials were given in [6].


The Homological Theory Of Degree Of Fql-Mappings, Aki̇f Abbasov Jan 2006

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 Jan 2006

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 Jan 2006

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).