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Articles 2281 - 2310 of 2781
Full-Text Articles in Entire DC Network
Closure Of Minimal Extensions, M. El Hajoui, A. Miri
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
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.
Lengths Of Subsets In Coxeter Groups, Sarah B. Hart, Peter J. Rowley
Lengths Of Subsets In Coxeter Groups, Sarah B. Hart, Peter J. Rowley
Turkish Journal of Mathematics
No abstract provided.
Barely Transitive Groups, Mahmut Kuzucuoğlu
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
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
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
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 …
Relations Among Algebraic Models Of 1-Connected Homotopy 3-Types, Erdal Ulualan
Relations Among Algebraic Models Of 1-Connected Homotopy 3-Types, Erdal Ulualan
Turkish Journal of Mathematics
In this paper, we explore the relations among reduced cases of algebraic models for homotopy 3-types for groups such as braided crossed and quadratic modules and reduced simplicial groups with Moore complex of length 2.
An Example Of An Indecomposable Module Without Non-Zero Hollow Factor Modules, Christian Lomp
An Example Of An Indecomposable Module Without Non-Zero Hollow Factor Modules, Christian Lomp
Turkish Journal of Mathematics
A module M is called hollow-lifting if every submodule N of M such that M/N is hollow contains a direct summand D \subseteq N such that N/D is a small submodule of M/D. A module M is called lifting if such a direct summand D exists for every submodule N. We construct an indecomposable module M without non-zero hollow factor modules, showing that there are hollow-lifting modules which are not lifting. The existences of such modules had been left open in a recent work by N. Orhan, D. Keskin-Tütüncü and R. Tribak [2].
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.
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.
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.
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.
Locally Finite Simple Moufang Loops, J. I. Hall
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.
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.
The Pitch And The Pseudo Angle Of Pitch Of A Closed Piece Of (K+1)-Dimensional Ruled Surface In R_\Nu^N, Ayşe Altin
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
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
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
Inequality For Ricci Curvature Of Slant Submanifolds In Cosymplectic Space Forms, Dae Won Yoon
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.
Existence Of Periodic Solutions For Second Order Rayleigh Equations With Piecewise Constant Argument, Gen-Qiang Wang, Sui Sun Cheng
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
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, …
A Connected Sum Of Knots And Fintushel-Stern Knot Surgery On 4-Manifolds, Manabu Akaho
A Connected Sum Of Knots And Fintushel-Stern Knot Surgery On 4-Manifolds, Manabu Akaho
Turkish Journal of Mathematics
We give some new examples of smooth 4-manifolds which are diffeomorphic although they are obtained by Fintushel-Stern knot surgeries on a smooth 4-manifold with different knots; the first such examples are given by Akbulut [1]. In the proof we essentially use the monodromy of a cusp.
On Cauchy's Bound For Zeros Of A Polynomial, V. K. Jain
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
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
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].