Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Articles 31 - 36 of 36

Full-Text Articles in Physical Sciences and Mathematics

Simplex Codes Over The Ring \Sum_{N=0}^Su^N F_2, Mohammed M. Al-Ashker Jan 2005

Simplex Codes Over The Ring \Sum_{N=0}^Su^N F_2, Mohammed M. Al-Ashker

Turkish Journal of Mathematics

In this paper, we introduce simplex linear codes over the ring \sum_{n=0}^{n=s}u^n F_2 of types \alpha and \beta, where u^{s+1}=0. And we determine their properties. These codes are an extension and generalization of simplex codes over the ring Z_{2^s}.


Commutative Quartic P-Galois Extensions Over A Field Of Characteristic Not 2, Atsushi Nakajima Jan 2005

Commutative Quartic P-Galois Extensions Over A Field Of Characteristic Not 2, Atsushi Nakajima

Turkish Journal of Mathematics

In [2], K. Kishimoto introduced the notion of P-Galois extensions and gave some fundamental properties of these extensions. P-Galois extensions relate Hopf Galois extensions, and the author treated these topics in [5]. Moreover, the cubic P-Galois extensions over a field were completely determined in [6]. Continuing [5] and [6], we classify commutative quartic P-Galois extensions over a field of characteristic not 2.


On A Class Of Para-Sakakian Manifolds, Ci̇han Özgür Jan 2005

On A Class Of Para-Sakakian Manifolds, Ci̇han Özgür

Turkish Journal of Mathematics

In this study, we investigate Weyl-pseudosymmetric Para-Sasakian manifolds and Para-Sasakian manifolds satisfying the condition C \cdot S=0.


Submanifolds Of Riemannian Product Manifolds, Mehmet Atçeken Jan 2005

Submanifolds Of Riemannian Product Manifolds, Mehmet Atçeken

Turkish Journal of Mathematics

In this paper, we study the geometry of the semi-invariant submanifolds of a Riemannian product manifold. Fundamental properties of these type submanifolds such as the integrability of the distributions D, D^{\bot} and mixed-geodesic property are studied. Finally, necessary and sufficient conditions are given on a semi-invariant submanifold of Riemannian product manifold to be D-geodesic and D^{\bot}-geodesic.


A Property Of Weak Convergence Of Positive Contractions Of Von Neumann Algebras, Farrukh Mukhamedov, Seyi̇t Temi̇r Jan 2005

A Property Of Weak Convergence Of Positive Contractions Of Von Neumann Algebras, Farrukh Mukhamedov, Seyi̇t Temi̇r

Turkish Journal of Mathematics

In the present paper we prove that the mixing property of positive L^1-contraction of finite von Neumann algebras implies the property of complete mixing.


On Generalization Of The Quasi Homogeneous Riesz Potential, Hüseyi̇n Yildirim Jan 2005

On Generalization Of The Quasi Homogeneous Riesz Potential, Hüseyi̇n Yildirim

Turkish Journal of Mathematics

In this paper, a generalization of the quasi homogeneous Riesz Potential has been defined using non-isotropic quasi-distance and its L_p (p \geq 1) continuity study.