eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-12-01
03
04
185
194
510045
On (σ, τ)-module extension Banach algebras
M. Fozouni
fozouni@gonbad.ac.ir
1
Department of Mathematics, Gonbad Kavous University, P.O. Box 163, Gonbad-e Kavous, Golestan, Iran
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.
http://jlta.iauctb.ac.ir/article_510045_bfb8f87306cc7d536479e9ca016263f7.pdf
Banach algebra
module extension
Ideal
derivation
Arens regular
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-12-01
03
04
196
204
510050
Soft regular generalized b-closed sets in soft topological spaces
S. M. Al-Salem
shuker.alsalem@gmail.com
1
Department of Mathematics, College of Science, Basra, Iraq
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.
http://jlta.iauctb.ac.ir/article_510050_4ac0956f45f51114ac59f26782eb7c83.pdf
Soft set
soft g-closed
soft rg-closed
soft b-closed
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-12-01
03
04
205
209
510046
OD-characterization of $U_3(9)$ and its group of automorphisms
P. Nosratpour
p.nosratpour@ilam-iau.ac.ir
1
Department of Mathematics, Ilam Branch, Islamic Azad University, Ilam, Iran
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.
http://jlta.iauctb.ac.ir/article_510046_ea08b44affe36d029961b12580fb0be4.pdf
Finite simple group
OD-characterization
group of lie type
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-12-01
03
04
211
217
510047
On φ-Connes amenability of dual Banach algebras
A. Mahmoodi
1
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.
http://jlta.iauctb.ac.ir/article_510047_337587854110ff69f293c30afd82764b.pdf
Dual Banach algebra
φ-Connes amenability
φ-injectivity
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-12-01
03
04
219
230
510048
Fixed point theorems for α-ψ-ϕ-contractive integral type mappings
Z. Badehian
ziadbadehian@gmail.com
1
M. S. Asgari
msasgari@yahoo.com
2
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 13185-768, Tehran, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 13185-768, Tehran, Iran
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.
http://jlta.iauctb.ac.ir/article_510048_bf7090acee18525c3ae2e4653f33bf53.pdf
fixed point
α-ψ-ϕ-contractive integral type mapping
complete metric space
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-12-01
03
04
231
247
510049
Steffensen method for solving nonlinear matrix equation $X+A^T X^{(-1)}A=Q$
A. Nazari
a-nazari@araku.ac.ir
1
Kh. Sayehvand
2
M. Rostami
3
Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Arak, Iran
Faculty of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114, Malayer, Iran
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.
http://jlta.iauctb.ac.ir/article_510049_12133f3cde7afd2038f6f49d52566c61.pdf
fixed point method
Steffensen method
Nonlinear matrix equations