Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
04
2014
12
01
On (σ, τ)-module extension Banach algebras
185
194
EN
M.
Fozouni
Department of Mathematics, Gonbad Kavous University, P.O. Box 163, Gonbad-e Kavous, Golestan, Iran
fozouni@gonbad.ac.ir
Let A be a Banach algebra and X be a Banach A-bimodule. In this paper, we define a new product on $Aoplus X$ 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.
Banach algebra,module extension,Ideal,derivation,Arens regular
http://jlta.iauctb.ac.ir/article_510045.html
http://jlta.iauctb.ac.ir/article_510045_bfb8f87306cc7d536479e9ca016263f7.pdf
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
04
2014
12
01
Soft regular generalized b-closed sets in soft topological spaces
196
204
EN
S. M.
Al-Salem
Department of Mathematics, College of Science, Basra, Iraq
shuker.alsalem@gmail.com
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.
Soft set,soft g-closed,soft rg-closed,soft b-closed
http://jlta.iauctb.ac.ir/article_510050.html
http://jlta.iauctb.ac.ir/article_510050_4ac0956f45f51114ac59f26782eb7c83.pdf
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
04
2014
12
01
OD-characterization of $U_3(9)$ and its group of automorphisms
205
209
EN
P.
Nosratpour
Department of Mathematics, Ilam Branch,
Islamic Azad University, Ilam, Iran
p.nosratpour@ilam-iau.ac.ir
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.
Finite simple group,OD-characterization,group of lie type
http://jlta.iauctb.ac.ir/article_510046.html
http://jlta.iauctb.ac.ir/article_510046_ea08b44affe36d029961b12580fb0be4.pdf
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
04
2014
12
01
On φ-Connes amenability of dual Banach algebras
211
217
EN
A.
Mahmoodi
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
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.
Dual Banach algebra,φ-Connes amenability,φ-injectivity
http://jlta.iauctb.ac.ir/article_510047.html
http://jlta.iauctb.ac.ir/article_510047_337587854110ff69f293c30afd82764b.pdf
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
04
2014
12
01
Fixed point theorems for α-ψ-ϕ-contractive integral type mappings
219
230
EN
Z.
Badehian
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran
ziadbadehian@gmail.com
M. S.
Asgari
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran
msasgari@yahoo.com
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.
fixed point,α-ψ-ϕ-contractive integral type mapping,complete metric space
http://jlta.iauctb.ac.ir/article_510048.html
http://jlta.iauctb.ac.ir/article_510048_bf7090acee18525c3ae2e4653f33bf53.pdf
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
04
2014
12
01
Steffensen method for solving nonlinear matrix equation $X+A^T X^{(-1)}A=Q$
231
247
EN
A.
Nazari
Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Arak, Iran
a-nazari@araku.ac.ir
Kh.
Sayehvand
Faculty of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114,
Malayer, Iran
M.
Rostami
Faculty of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114,
Malayer, Iran
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.
fixed point method,Steffensen method,Nonlinear matrix equations
http://jlta.iauctb.ac.ir/article_510049.html
http://jlta.iauctb.ac.ir/article_510049_12133f3cde7afd2038f6f49d52566c61.pdf