Connected and Hyperconnected Generalized Topological Spaces
R
Messaoud
university of Gafsa Tunisia
author
I
basdouri
university of Gafsa Tunisia.
author
A
Missaoui
university of Gafsa Tunisia
author
text
article
2016
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
05
v.
04
no.
2016
229
234
http://jlta.iauctb.ac.ir/article_525272_3effe31d647d8985ed42836bc5a24d20.pdf
On quasi-baer modules
M
Shafiee-Mousavi
Islamic Azad University, South Tehran Branch
author
text
article
2016
eng
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; ]].
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
05
v.
04
no.
2016
235
240
http://jlta.iauctb.ac.ir/article_523166_7c8fd553c55afdb046ff1bc23fb771ff.pdf
Construction of strict Lyapunov function for nonlinear parameterised perturbed systems
B
Ghanmi
Faculty of science, University of Sfax, Sfax, Tunisia.
author
M. A.
Hammami
Faculty of science, University of Sfax, Sfax, Tunisia
author
text
article
2016
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
05
v.
04
no.
2016
241
261
http://jlta.iauctb.ac.ir/article_524186_3d72c602686e0c948dbea988d6efc016.pdf
On the irreducibility of the complex specialization of the representation of the Hecke algebra of the complex re ection group G7
M. Y
Chreif
Department of Matehmatics
Faculty of Science
Beirut Arab University
Beirut, Lebanon
P.O. Box: 11-5020
author
M
Abdulrahim
Professor
Department of Mathematics
Faculty of Science
Beirut Arab University
P.O. Box: 11-5020
Beirut, Lebanon
author
text
article
2016
eng
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).
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
05
v.
04
no.
2016
263
270
http://jlta.iauctb.ac.ir/article_525145_c823f0b9a87e816b0e0d7866259cf663.pdf
Preorder Relators and Generalized Topologies
H
Arianpoor
Tafresh University. Iran.
author
text
article
2016
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
05
v.
04
no.
2016
271
277
http://jlta.iauctb.ac.ir/article_528321_0f5b031391c1cfa5fc77f964b620a44b.pdf
Dynamical distance as a semi-metric on nuclear conguration space
M
Rahimi
Faculty of Science, Department of Mathematics, Qom University,
Qom, Iran.
author
text
article
2016
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
05
v.
04
no.
2016
279
287
http://jlta.iauctb.ac.ir/article_528322_fdfa87a4e2657d31817ebb067fc65873.pdf
On the commuting graph of some non-commutative rings with unity
F
Ramezani
Department of Basic science , Imam Khomeini International University, Qazvin, Iran.
author
E
Vatandoost
Department of Basic science , Imam Khomeini International University, Qazvin, Iran.
author
text
article
2016
eng
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 $R\setminus Z(R)$ 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 $4K_2 \cup K_6$.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
05
v.
04
no.
2016
289
294
http://jlta.iauctb.ac.ir/article_528323_4e4b648974af985b7d19b5295b6aec8a.pdf