Connected and Hyperconnected Generalized Topological Spaces
I.
Basdouri
Departement de Mathematiques, Faculte des Sciences de Gafsa,
Zarroug 2112 Gafsa, Tunisie
author
R.
Messaoud
Departement de Mathematiques, Faculte des Sciences de Gafsa,
Zarroug 2112 Gafsa, Tunisie
author
A.
Missaoui
Departement de Mathematiques, Faculte des Sciences de Gafsa,
Zarroug 2112 Gafsa, Tunisie
author
text
article
2016
eng
A. Csaszar introduced and extensively studied the notion of generalized open sets. Following Csazar, we introduce a new notion hyperconnected. We study some specic properties about connected and hyperconnected in generalized topological spaces. Finally, we characterize the connected component in generalized topological spaces.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch, Islamic Azad University
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
Department of Mathematics, South Tehran Branch,
Islamic Azad University, Tehran, Iran
author
text
article
2016
eng
Let $R$ be a ring, $\sigma$ be an endomorphism of $R$ and $M_R$ be a $\sigma$-rigid module. A module $M_R$ is called quasi-Baer if the right annihilator of a principal submodule of $R$ is generated by an idempotent. It is shown that an $R$-module $M_R$ is a quasi-Baer module if and only if $M[[x]]$ is a quasi-Baer module over the skew power series ring $R[[x,\sigma]]$.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch, Islamic Azad University
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 systems is studied by using Lyapunov techniques. The system presents a perturbation term which is bounded by an integrable function with the assumption that the nominal system is globally uniformly exponentially stable. Some examples in dimensional two are given to illustrate the applicability of the main results.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch, Islamic Azad University
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 reflection group $G_7$
M. Y.
Chreif
Department of Mathematics, Beirut Arab University,
PO. Box 11-5020, Beirut, Lebanon
author
M.
Abdulrahim
Department of Mathematics, Beirut Arab University,
PO. Box 11-5020, Beirut, Lebanon
author
text
article
2016
eng
We consider a 2-dimensional representation of the Hecke algebra $H(G_7, u)$, where $G_7$ is the complex reflection group and $u$ is the set of indeterminates $u = (x_1,x_2,y_1,y_2,y_3,z_1,z_2,z_3)$. After specializing the indetrminates to non zero complex numbers, we then determine a necessary and sufficient condition that guarantees the irreducibility of the complex specialization of the representation of the Hecke algebra $H(G_7, u)$.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch, Islamic Azad University
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
Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran
author
text
article
2017
eng
In this paper we investigate generalized topologies generated by a subbase of preorder relators and consider its application in the concept of the complement. We introduce the notion of principal generalized topologies obtained from the new type of open sets and study some of their important properties.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch, Islamic Azad University
2252-0201
05
v.
04
no.
2017
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
2017
eng
In this paper, we introduce the concept of dynamical distance on a nuclear conguration space. We partition the nuclear conguration space into disjoint classes. This classification coincides with the classical partitioning of molecular systems via the concept of conjugacy of dynamical systems. It gives a quantitative criterion to distinguish dierent molecular structures.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch, Islamic Azad University
2252-0201
05
v.
04
no.
2017
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, Islamic Azad University
2252-0201
05
v.
04
no.
2016
289
294
http://jlta.iauctb.ac.ir/article_528323_4e4b648974af985b7d19b5295b6aec8a.pdf