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
R Messaoud
rimessaoud@yahoo.fr
1
I basdouri
basdourimd@yahoo.fr
2
A Missaoui
amiramissaoui@yahoo.fr
3
university of Gafsa Tunisia
university of Gafsa Tunisia.
university of Gafsa Tunisia
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.
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 Shaee-Mousavi
mshafieemousavi@azad.ac.ir
1
Islamic Azad University, South Tehran Branch
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; ]].
http://jlta.iauctb.ac.ir/article_523166_7c8fd553c55afdb046ff1bc23fb771ff.pdf
Quasi-Baer modules
-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 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.
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 re ection group G7
M. Y Chreif
myc102@student.bau.edu.lb
1
M Abdulrahim
mna@bau.edu.lb
2
Department of Matehmatics Faculty of Science Beirut Arab University Beirut, Lebanon P.O. Box: 11-5020
Professor Department of Mathematics Faculty of Science Beirut Arab University P.O. Box: 11-5020 Beirut, Lebanon
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).
http://jlta.iauctb.ac.ir/article_525145_c823f0b9a87e816b0e0d7866259cf663.pdf
Braid group
Hecke algebra
irreducible
re ections
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-12-01
05
04
271
277
528321
Preorder Relators and Generalized Topologies
H Arianpoor
arianpoor@tafreshu.ac.ir
1
Tafresh University. Iran.
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.
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
2016-12-01
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 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.
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
2016-12-01
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