@Article{Basdouri2016,
author="Basdouri, I.
and Messaoud, R.
and Missaoui, A.",
title="Connected and Hyperconnected Generalized Topological Spaces",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2016",
volume="05",
number="04",
pages="229-234",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_525272.html"
}
@Article{Shafiee-Mousavi2016,
author="Shafiee-Mousavi, M.",
title="On quasi-baer modules",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2016",
volume="05",
number="04",
pages="235-240",
abstract="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 $R[[x,\sigma]]$.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_523166.html"
}
@Article{Ghanmi2016,
author="Ghanmi, B.
and Hammami, M. A.",
title="Construction of strict Lyapunov function for nonlinear parameterised perturbed systems",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2016",
volume="05",
number="04",
pages="241-261",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_524186.html"
}
@Article{Chreif2016,
author="Chreif, M. Y.
and Abdulrahim, M.",
title="On the irreducibility of the complex specialization of the representation of the Hecke algebra of the complex reflection group $G_7$",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2016",
volume="05",
number="04",
pages="263-270",
abstract="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 $H(G_7, u)$.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_525145.html"
}
@Article{Arianpoor2017,
author="Arianpoor, H.",
title="Preorder Relators and Generalized Topologies",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="05",
number="04",
pages="271-277",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_528321.html"
}
@Article{Rahimi2017,
author="Rahimi, M.",
title="Dynamical distance as a semi-metric on nuclear conguration space",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="05",
number="04",
pages="279-287",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_528322.html"
}
@Article{Ramezani2016,
author="Ramezani, F.
and Vatandoost, E.",
title="On the commuting graph of some non-commutative rings with unity",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2016",
volume="05",
number="04",
pages="289-294",
abstract="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 $4K_2 \cup K_6$.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_528323.html"
}