Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
04
2016
12
01
Connected and Hyperconnected Generalized Topological Spaces
229
234
EN
R
Messaoud
university of Gafsa Tunisia
rimessaoud@yahoo.fr
I
basdouri
university of Gafsa Tunisia.
basdourimd@yahoo.fr
A
Missaoui
university of Gafsa Tunisia
amiramissaoui@yahoo.fr
A. Csaszar introduced and extensively studied the notion of generalized opensets. Following Csazar, we introduce a new notion hyperconnected. We study some specicproperties about connected and hyperconnected in generalized topological spaces. Finally, wecharacterize the connected component in generalized topological spaces.
Generalized topology,m-structure,weak structure,connected,g-closed
http://jlta.iauctb.ac.ir/article_525272.html
http://jlta.iauctb.ac.ir/article_525272_3effe31d647d8985ed42836bc5a24d20.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
04
2016
12
01
On quasi-baer modules
235
240
EN
M
Shafiee-Mousavi
Islamic Azad University, South Tehran Branch
mshafieemousavi@azad.ac.ir
Let R be a ring, be an endomorphism of R and MR be a -rigid module. Amodule MR is called quasi-Baer if the right annihilator of a principal submodule of R isgenerated by an idempotent. It is shown that an R-module MR is a quasi-Baer module if andonly if M[[x]] is a quasi-Baer module over the skew power series ring R[[x; ]].
Quasi-Baer modules,-rigid modules,quasi-Armendariz modules
http://jlta.iauctb.ac.ir/article_523166.html
http://jlta.iauctb.ac.ir/article_523166_7c8fd553c55afdb046ff1bc23fb771ff.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
04
2016
12
01
Construction of strict Lyapunov function for nonlinear parameterised perturbed systems
241
261
EN
B
Ghanmi
Faculty of science, University of Sfax, Sfax, Tunisia.
boulbaba_ghanmi@yahoo.fr
M. A.
Hammami
Faculty of science, University of Sfax, Sfax, Tunisia
In this paper, global uniform exponential stability of perturbed dynamical systemsis studied by using Lyapunov techniques. The system presents a perturbation term which isbounded by an integrable function with the assumption that the nominal system is globallyuniformly exponentially stable. Some examples in dimensional two are given to illustrate theapplicability of the main results.
Perturbed systems,Lyapunov function,uniform exponential stability
http://jlta.iauctb.ac.ir/article_524186.html
http://jlta.iauctb.ac.ir/article_524186_3d72c602686e0c948dbea988d6efc016.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
04
2016
12
01
On the irreducibility of the complex specialization of the representation of the Hecke algebra of the complex re ection group G7
263
270
EN
M. Y
Chreif
Department of Matehmatics
Faculty of Science
Beirut Arab University
Beirut, Lebanon
P.O. Box: 11-5020
myc102@student.bau.edu.lb
M
Abdulrahim
Professor
Department of Mathematics
Faculty of Science
Beirut Arab University
P.O. Box: 11-5020
Beirut, Lebanon
mna@bau.edu.lb
We consider a 2-dimensional representation of the Hecke algebra H(G7; u), whereG7 is the complex re ection group and u is the set of indeterminatesu = (x1; x2; y1; y2; y3; z1; z2; z3):After specializing the indetrminates to non zero complex numbers, we then determine a nec-essary and sucient condition that guarantees the irreducibility of the complex specializationof the representation of the Hecke algebra H(G7; u).
Braid group,Hecke algebra,irreducible,re ections
http://jlta.iauctb.ac.ir/article_525145.html
http://jlta.iauctb.ac.ir/article_525145_c823f0b9a87e816b0e0d7866259cf663.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
04
2016
12
01
Preorder Relators and Generalized Topologies
271
277
EN
H
Arianpoor
Tafresh University. Iran.
arianpoor@tafreshu.ac.ir
In this paper we investigate generalized topologies generated by a subbase ofpreorder relators and consider its application in the concept of the complement. We introducethe notion of principal generalized topologies obtained from the new type of open sets andstudy some of their important properties.
Generalized topology,preoerder relator,principal generalized topology
http://jlta.iauctb.ac.ir/article_528321.html
http://jlta.iauctb.ac.ir/article_528321_0f5b031391c1cfa5fc77f964b620a44b.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
04
2016
12
01
Dynamical distance as a semi-metric on nuclear conguration space
279
287
EN
M
Rahimi
Faculty of Science, Department of Mathematics, Qom University,
Qom, Iran.
m10.rahimi@gmail.com
In this paper, we introduce the concept of dynamical distance on a nuclear con-guration space. We partition the nuclear conguration space into disjoint classes. This clas-sication coincides with the classical partitioning of molecular systems via the concept ofconjugacy of dynamical systems. It gives a quantitative criterion to distinguish dierentmolecular structures.
Dynamical distance,molecular structure,nuclear conguration,QTAIM
http://jlta.iauctb.ac.ir/article_528322.html
http://jlta.iauctb.ac.ir/article_528322_fdfa87a4e2657d31817ebb067fc65873.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
04
2016
12
01
On the commuting graph of some non-commutative rings with unity
289
294
EN
F
Ramezani
Department of Basic science , Imam Khomeini International University, Qazvin, Iran.
f.ramezani988@gmail.com
E
Vatandoost
Department of Basic science , Imam Khomeini International University, Qazvin, Iran.
e_vatandoost@sci.ikiu.ac.ir
Let R be a non-commutative ring with unity. The commuting graph of $R$ denoted by $Gamma(R)$, is a graph with a vertex set $Rsetminus Z(R)$ and two vertices $a$ and $b$ are adjacent if and only if $ab=ba$. In this paper, we investigate non-commutative rings with unity of order $p^n$ where $p$ is prime and $n in lbrace 4,5 rbrace$. It is shown that, $Gamma(R)$ is the disjoint union of complete graphs. Finally, we prove that there are exactly five commuting graphs of non-commutative rings with unity up to twenty vertices and they are $3K_2,3K_4,7K_2, K_2 cup 2K_6$ and $4K_2 cup K_6$.
Commuting graphs,non-commutative rings,non-connected graphs
http://jlta.iauctb.ac.ir/article_528323.html
http://jlta.iauctb.ac.ir/article_528323_4e4b648974af985b7d19b5295b6aec8a.pdf