Journal of Linear and Topological Algebra (JLTA)Journal of Linear and Topological Algebra (JLTA)
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Feed provided by Journal of Linear and Topological Algebra (JLTA). Click to visit.Connected and Hyperconnected Generalized Topological Spaces
http://jlta.iauctb.ac.ir/article_525272_112599.html
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.Wed, 30 Nov 2016 20:30:00 +0100On quasi-baer modules
http://jlta.iauctb.ac.ir/article_523166_112599.html
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; ]].Wed, 30 Nov 2016 20:30:00 +0100Construction of strict Lyapunov function for nonlinear parameterised perturbed systems
http://jlta.iauctb.ac.ir/article_524186_112599.html
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.Wed, 30 Nov 2016 20:30:00 +0100On the irreducibility of the complex specialization of the representation of the Hecke algebra ...
http://jlta.iauctb.ac.ir/article_525145_112599.html
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).Wed, 30 Nov 2016 20:30:00 +0100Preorder Relators and Generalized Topologies
http://jlta.iauctb.ac.ir/article_528321_112599.html
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.Wed, 30 Nov 2016 20:30:00 +0100Dynamical distance as a semi-metric on nuclear conguration space
http://jlta.iauctb.ac.ir/article_528322_112599.html
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.Wed, 30 Nov 2016 20:30:00 +0100On the commuting graph of some non-commutative rings with unity
http://jlta.iauctb.ac.ir/article_528323_112599.html
‎‎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 $4K_2 cup K_6$‎.Wed, 30 Nov 2016 20:30:00 +0100