On (σ, τ)-module extension Banach algebras
M.
Fozouni
Department of Mathematics, Gonbad Kavous University, P.O. Box 163, Gonbad-e Kavous, Golestan, Iran
author
text
article
2015
eng
Let A be a Banach algebra and X be a Banach A-bimodule. In this paper, we define a new product on $A\oplus X$ and generalize the module extension Banach algebras. We obtain characterizations of Arens regularity, commutativity, semisimplity, and study the ideal structure and derivations of this new Banach algebra.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
04
no.
2015
185
194
http://jlta.iauctb.ac.ir/article_510045_bfb8f87306cc7d536479e9ca016263f7.pdf
Soft regular generalized b-closed sets in soft topological spaces
S. M.
Al-Salem
Department of Mathematics, College of Science, Basra, Iraq
author
text
article
2014
eng
The main purpose of this paper is to introduce and study new classes of soft closed sets like soft regular generalized b-closed sets in soft topological spaces (briefly soft rgb-closed set) Moreover, soft rg-closed, soft gpr-closed, soft gb-closed, soft gsp-closed, soft g$\alpha$-closed, soft g$\alpha$b-closed, and soft sgb-closed sets in soft topological spaces are introduced in this paper and we investigate the relations between soft rgb-closed set and the associated soft sets. Also, the concept of soft semi-regularization of soft topology is introduced and studied their some properties. We introduce these concepts which are dened over an initial universe with a fixed set of parameters.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
04
no.
2014
196
204
http://jlta.iauctb.ac.ir/article_510050_4ac0956f45f51114ac59f26782eb7c83.pdf
OD-characterization of $U_3(9)$ and its group of automorphisms
P.
Nosratpour
Department of Mathematics, Ilam Branch,
Islamic Azad University, Ilam, Iran
author
text
article
2014
eng
Let $L = U_3(9)$ be the simple projective unitary group in dimension 3 over a field with 92 elements. In this article, we classify groups with the same order and degree pattern as an almost simple group related to $L$. Since $Aut(L)\equiv Z_4$ hence almost simple groups related to $L$ are $L$, $L : 2$ or $L : 4$. In fact, we prove that $L$, $L : 2$ and $L : 4$ are OD-characterizable.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
04
no.
2014
205
209
http://jlta.iauctb.ac.ir/article_510046_ea08b44affe36d029961b12580fb0be4.pdf
On φ-Connes amenability of dual Banach algebras
A.
Mahmoodi
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
author
text
article
2014
eng
Let φ be a w-continuous homomorphism from a dual Banach algebra to C. The notion of φ-Connes amenability is studied and some characterizations is given. A type of diagonal for dual Banach algebras is dened. It is proved that the existence of such a diagonal is equivalent to φ-Connes amenability. It is also shown that φ-Connes amenability is equivalent to so-called φ-splitting of a certain short exact sequence.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
04
no.
2014
211
217
http://jlta.iauctb.ac.ir/article_510047_337587854110ff69f293c30afd82764b.pdf
Fixed point theorems for α-ψ-ϕ-contractive integral type mappings
Z.
Badehian
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran
author
M. S.
Asgari
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran
author
text
article
2015
eng
In this paper, we introduce a new concept of α-ψ-ϕ-contractive integral type mappings and establish some new fixed point theorems in complete metric spaces.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
04
no.
2015
219
230
http://jlta.iauctb.ac.ir/article_510048_bf7090acee18525c3ae2e4653f33bf53.pdf
Steffensen method for solving nonlinear matrix equation $X+A^T X^{(-1)}A=Q$
A.
Nazari
Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Arak, Iran
author
Kh.
Sayehvand
Faculty of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114,
Malayer, Iran
author
M.
Rostami
Faculty of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114,
Malayer, Iran
author
text
article
2015
eng
In this article we study Steffensen method to solve nonlinear matrix equation $X+A^T X^{(-1)}A=Q$, when $A$ is a normal matrix. We establish some conditions that generate a sequence of positive denite matrices which converges to solution of this equation.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
04
no.
2015
231
247
http://jlta.iauctb.ac.ir/article_510049_12133f3cde7afd2038f6f49d52566c61.pdf