Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
01
2016
06
01
Existence and multiplicity of positive solutions for a class of semilinear elliptic system with nonlinear boundary conditions
1
13
EN
F. M.
Yaghoobi
Department of Mathemetics, College of Science, Hamedan Branch, Islamic Azad University, Hamedan, Iran
fm.yaghoobi@gmail.com
J.
Shamshiri
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
jamileshamshiri@gmail.com
This 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.
Critical point,Semilinear elliptic system,Nonlinear boundary value problem,Fibering map,Nehari manifold
http://jlta.iauctb.ac.ir/article_520622.html
http://jlta.iauctb.ac.ir/article_520622_679af548d569f570d0e290d3f5bd193f.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
01
2016
06
01
Subcategories of topological algebras
15
28
EN
V. L.
Gompa
Department of Mathematics, Troy University, Dothan, AL 36304, USA
vgompa@jsu.edu
In 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.
Monotopolocial category,topological category,topological functors,Universal algebra,topological algebra,reflective subcategory,coreflective subcategory, epireflective subcategory
http://jlta.iauctb.ac.ir/article_521629.html
http://jlta.iauctb.ac.ir/article_521629_e164b9beeab103f98558241a96c40cca.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
01
2016
06
01
Common fixed point results on vector metric spaces
29
39
EN
G.
Soleimani Rad
Young Researchers and Elite club, Central Tehran Branch, Islamic Azad University, Tehran, Iran
gh.soleimani2008@gmail.com
I.
Altun
Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey

King Saud University, College of Science, Riyadh, Saudi Arabia
ialtun@kku.edu.tr
In 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 wellknown comparable results in the literature.
Vector metric space,Riesz space,common fixed point,Weakly compatible pairs
http://jlta.iauctb.ac.ir/article_522437.html
http://jlta.iauctb.ac.ir/article_522437_ed74172d3ea837fc9ce24a67702ed125.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
01
2016
06
01
A note on quasi irresolute topological groups
41
46
EN
T.
Oner
Department of Mathematics, Faculty of Science Mugla Sitk Kocman University, Mugla 48000, Turkey
onertarkan@gmail.com
A.
Ozek
Department of Mathematics, Graduate School of Natural and Applied Sciences Mugla Sitki Kocman University, Mugla 48000, Turkey
alperozek88@gmail.com
In 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 semiconnected quasi irresolute topological group $(G,*,tau )$, if $V$ is any symmetric semiopen 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 semidiscrete if and only if it has a semiisolated point.
Semiopen set,semiclosed set,irresolute mapping,semihomeomorphism,quasi irresolute topological group
http://jlta.iauctb.ac.ir/article_522724.html
http://jlta.iauctb.ac.ir/article_522724_b241a672faa0e27d440efefec12801f6.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
01
2016
06
01
FClosedness in Bitopological Spaces
47
53
EN
A. A.
Nasef
Department of Physics and Engineering Mathematics, Faculty of Engineering, KafrElSheikh University, Kafr ElSheikh, Egypt
nasefa50@yahoo.com
A.
Azzam
Department of Mathematics, Faculty of Science, Assuit University,
New Valley, Egypt
azzam0911@yahoo.com
The purpose of this paper is to introduce the concept of pairwise Fclosedness in bitopological spaces. This space contains both of pairwise strongcompactness and pairwise Sclosedness and contained in pairwise quasi Hclosedness. 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.
Fclosed,pairwise Fclosed,pairwise Sclosed,pairwise strongly compact,pairwise quasi Hclosed,pairwise almost cocompact
http://jlta.iauctb.ac.ir/article_522722.html
http://jlta.iauctb.ac.ir/article_522722_7448d945db2068090e4678378f07ec94.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
01
2016
06
01
Probability of having $n^{th}$roots and ncentrality of two classes of groups
55
62
EN
M.
Hashemi
Faculty of Mathematical Sciences, University of Guilan, P.O.Box 4133519141, Rasht, Iran
m_hashemi@guilan.ac.ir
M.
Polkouei
Faculty of Mathematical Sciences, University of Guilan, P.O.Box 4133519141, Rasht, Iran
mikhakp@yahoo.com
In this paper, we consider the finitely 2generated groups $K(s,l)$ and $G_m$ as follows:$$K(s,l)=langle a,bab^s=b^la, ba^s=a^lbrangle,\G_m=langle a,ba^m=b^m=1, {[a,b]}^a=[a,b], {[a,b]}^b=[a,b]rangle$$ and find the explicit formulas for the probability of having nthroots for them. Also, we investigate integers n for which, these groups are ncentral.
Nilpotent groups,$n^{th}$roots,ncentral groups
http://jlta.iauctb.ac.ir/article_522726.html
http://jlta.iauctb.ac.ir/article_522726_3c193b3446bc6297d55473826577a373.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
01
2016
06
01
Recognition by prime graph of the almost simple group PGL(2, 25)
63
66
EN
A.
Mahmoudifar
Department of Mathematics, TehranNorth Branch, Islamic Azad University, Tehran, Iran
alimahmoudifar@gmail.com
Throughout 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.
linear group,Almost simple group,prime graph,element order,Frobenius group
http://jlta.iauctb.ac.ir/article_522731.html
http://jlta.iauctb.ac.ir/article_522731_a8e3e45808ccf2cc905a3c147ea28722.pdf