eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-12-01
05
04
229
234
525272
Connected and Hyperconnected Generalized Topological Spaces
I. Basdouri
basdourimd@yahoo.fr
1
R. Messaoud
rimessaoud@yahoo.fr
2
A. Missaoui
amiramissaoui@yahoo.fr
3
Departement de Mathematiques, Faculte des Sciences de Gafsa, Zarroug 2112 Gafsa, Tunisie
Departement de Mathematiques, Faculte des Sciences de Gafsa, Zarroug 2112 Gafsa, Tunisie
Departement de Mathematiques, Faculte des Sciences de Gafsa, Zarroug 2112 Gafsa, Tunisie
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.
http://jlta.iauctb.ac.ir/article_525272_3effe31d647d8985ed42836bc5a24d20.pdf
Generalized topology
m-structure
weak structure
connected
g-closed
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-12-01
05
04
235
240
523166
On quasi-baer modules
M. Shafiee-Mousavi
mshafieemousavi@azad.ac.ir
1
Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran
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 $R[[x,sigma]]$.
http://jlta.iauctb.ac.ir/article_523166_7c8fd553c55afdb046ff1bc23fb771ff.pdf
Quasi-Baer modules
$sigma$-rigid modules
quasi-Armendariz modules
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-12-01
05
04
241
261
524186
Construction of strict Lyapunov function for nonlinear parameterised perturbed systems
B. Ghanmi
boulbaba_ghanmi@yahoo.fr
1
M. A. Hammami
2
Faculty of science, University of Sfax, Sfax, Tunisia
Faculty of science, University of Sfax, Sfax, Tunisia
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.
http://jlta.iauctb.ac.ir/article_524186_3d72c602686e0c948dbea988d6efc016.pdf
Perturbed systems
Lyapunov function
uniform exponential stability
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-12-01
05
04
263
270
525145
On the irreducibility of the complex specialization of the representation of the Hecke algebra of the complex reflection group $G_7$
M. Y. Chreif
myc102@student.bau.edu.lb
1
M. Abdulrahim
mna@bau.edu.lb
2
Department of Mathematics, Beirut Arab University, PO. Box 11-5020, Beirut, Lebanon
Department of Mathematics, Beirut Arab University, PO. Box 11-5020, Beirut, Lebanon
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 $H(G_7, u)$.
http://jlta.iauctb.ac.ir/article_525145_c823f0b9a87e816b0e0d7866259cf663.pdf
Braid group
Hecke algebra
irreducible
reflections
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-01-20
05
04
271
277
528321
Preorder Relators and Generalized Topologies
H. Arianpoor
arianpoor@tafreshu.ac.ir
1
Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran
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.
http://jlta.iauctb.ac.ir/article_528321_0f5b031391c1cfa5fc77f964b620a44b.pdf
Generalized topology
preoerder relator
principal generalized topology
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-01-28
05
04
279
287
528322
Dynamical distance as a semi-metric on nuclear conguration space
M. Rahimi
m10.rahimi@gmail.com
1
Faculty of Science, Department of Mathematics, Qom University, Qom, Iran
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.
http://jlta.iauctb.ac.ir/article_528322_fdfa87a4e2657d31817ebb067fc65873.pdf
Dynamical distance
molecular structure
nuclear conguration
QTAIM
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-01-20
05
04
289
294
528323
On the commuting graph of some non-commutative rings with unity
F. Ramezani
f.ramezani988@gmail.com
1
E. Vatandoost
e_vatandoost@sci.ikiu.ac.ir
2
Department of Basic science , Imam Khomeini International University, Qazvin, Iran
Department of Basic science , Imam Khomeini International University, Qazvin, Iran
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 $4K_2 cup K_6$.
http://jlta.iauctb.ac.ir/article_528323_4e4b648974af985b7d19b5295b6aec8a.pdf
Commuting graphs
non-commutative rings
non-connected graphs