Research Paper General topology
1. Connected and Hyperconnected Generalized Topological Spaces

I. Basdouri; R. Messaoud; A. Missaoui

Volume 05, Issue 04 , Autumn 2016, Pages 229-234

  A. Csaszar introduced and extensively studied the notion of generalized open sets. Following Csazar, we introduce a new notion hyperconnected. We study some speci c properties about connected and hyperconnected in generalized topological spaces. Finally, we characterize the connected component ...  Read More

Research Paper Commutative algebra
2. On quasi-baer modules

M. Shafiee-Mousavi

Volume 05, Issue 04 , Autumn 2016, Pages 235-240

  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 ...  Read More

Research Paper
3. Construction of strict Lyapunov function for nonlinear parameterised perturbed systems

B. Ghanmi; M. A. Hammami

Volume 05, Issue 04 , Autumn 2016, Pages 241-261

  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 ...  Read More

Research Paper Group theory and generalizations
4. On the irreducibility of the complex specialization of the representation of the Hecke algebra of the complex reflection group $G_7$

M. Y. Chreif; M. Abdulrahim

Volume 05, Issue 04 , Autumn 2016, Pages 263-270

  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 ...  Read More

Research Paper General topology
5. Preorder Relators and Generalized Topologies

H. Arianpoor

Volume 05, Issue 04 , Autumn 2016, Pages 271-277

  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 ...  Read More

Research Paper
6. Dynamical distance as a semi-metric on nuclear con guration space

M. Rahimi

Volume 05, Issue 04 , Autumn 2016, Pages 279-287

  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 classifi cation coincides with the classical partitioning of molecular systems via the concept of conjugacy of dynamical systems. ...  Read More

Research Paper Combinatorics
7. On the commuting graph of some non-commutative rings with unity

F. Ramezani; E. Vatandoost

Volume 05, Issue 04 , Autumn 2016, Pages 289-294

  ‎‎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 ...  Read More