Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201050120160601Existence and multiplicity of positive solutions for a class of semilinear elliptic system with nonlinear boundary conditions113520622ENF. M. YaghoobiDepartment of Mathemetics, College of Science, Hamedan Branch, Islamic Azad University, Hamedan, IranJ. ShamshiriDepartment of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, IranJournal Article20151229This study concerns the existence and multiplicity of positive weak solutions for a class of semilinear elliptic systems with nonlinear boundary conditions. Our results is depending on the local minimization method on the Nehari manifold and some variational techniques. Also, by using Mountain Pass Lemma, we establish the existence of at least one solution with positive energy.Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201050120160601Subcategories of topological algebras1528521629ENV. L. GompaDepartment of Mathematics, Troy University, Dothan, AL 36304, USAJournal Article20160102In addition to exploring constructions and properties of limits and colimits in categories of topological algebras, we study special subcategories of topological algebras and their properties. In particular, under certain conditions, reflective subcategories when paired with topological structures give rise to reflective subcategories and epireflective subcategories give rise to epireflective subcategories.Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201050120160601Common fixed point results on vector metric spaces2939522437ENG. Soleimani RadYoung Researchers and Elite club, Central Tehran Branch, Islamic Azad University, Tehran, IranI. AltunDepartment of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey
King Saud University, College of Science, Riyadh, Saudi ArabiaJournal Article20160102In this paper we consider the so called a vector metric space, which is a generalization of metric space, where the metric is Riesz space valued. We prove some common fixed point theorems for three mappings in this space. Obtained results extend and generalize well-known comparable results in the literature.Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201050120160601A note on quasi irresolute topological groups4146522724ENT. OnerDepartment of Mathematics, Faculty of Science Mugla Sitk Kocman University, Mugla 48000, TurkeyA. OzekDepartment of Mathematics, Graduate School of Natural and Applied Sciences Mugla Sitki Kocman University, Mugla 48000, TurkeyJournal Article20160128In this study, we investigate the further properties of quasi irresolute topological groups defined in [20]. We show that if a group homomorphism f between quasi irresolute topological groups is irresolute at $e_G$, then $f$ is irresolute on $G$. Later we prove that in a semi-connected quasi irresolute topological group $(G,*,tau )$, if $V$ is any symmetric semi-open neighborhood of $e_G$, then $G$ is generated by $V$. Moreover it is proven that a subgroup $H$ of a quasi irresolute topological group $(G,*,tau)$ is semi-discrete if and only if it has a semi-isolated point.Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201050120160601F-Closedness in Bitopological Spaces4753522722ENA. A. NasefDepartment of Physics and Engineering Mathematics, Faculty of Engineering, KafrEl-Sheikh University, Kafr El-Sheikh, EgyptA. AzzamDepartment of Mathematics, Faculty of Science, Assuit University,
New Valley, EgyptJournal Article20160220The purpose of this paper is to introduce the concept of pairwise F-closedness in bitopological spaces. This space contains both of pairwise strongcompactness and pairwise S-closedness and contained in pairwise quasi H-closedness. The characteristics and relationships concerning this new class of spaces with other corresponding types are established. Moreover, several of its basic and important properties are discussed.Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201050120160601Probability of having $n^{th}$-roots and n-centrality of two classes of groups5562522726ENM. HashemiFaculty of Mathematical Sciences, University of Guilan, P.O.Box 41335-19141, Rasht, IranM. PolkoueiFaculty of Mathematical Sciences, University of Guilan, P.O.Box 41335-19141, Rasht, IranJournal Article20151208In this paper, we consider the finitely 2-generated groups $K(s,l)$ and $G_m$ as follows:<br />$$K(s,l)=langle a,b|ab^s=b^la, ba^s=a^lbrangle,\<br />G_m=langle a,b|a^m=b^m=1, {[a,b]}^a=[a,b], {[a,b]}^b=[a,b]rangle$$ <br />and find the explicit formulas for the probability of having nth-roots for them. Also, we investigate integers n for which, these groups are n-central.Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201050120160601Recognition by prime graph of the almost simple group PGL(2, 25)6366522731ENA. MahmoudifarDepartment of Mathematics, Tehran-North Branch, Islamic Azad University, Tehran, IranJournal Article20151224Throughout this paper, every groups are finite. The prime graph of a group $G$ is denoted by $Gamma(G)$. Also $G$ is called recognizable by prime graph if for every finite group $H$ with $Gamma(H) = Gamma(G)$, we conclude that $Gcong H$. Until now, it is proved that if $k$ is an odd number and $p$ is an odd prime number, then $PGL(2,p^k)$ is recognizable by prime graph. So if $k$ is even, the recognition by prime graph of $PGL(2,p^k)$, where $p$ is an odd prime number, is an open problem. In this paper, we generalize this result and we prove that the almost simple group $PGL(2,25)$ is recognizable by prime graph.