eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-06-01
05
01
1
13
520622
Existence and multiplicity of positive solutions for a class of semilinear elliptic system with nonlinear boundary conditions
F. M. Yaghoobi
fm.yaghoobi@gmail.com
1
J. Shamshiri
jamileshamshiri@gmail.com
2
Department of Mathemetics, College of Science, Hamedan Branch, Islamic Azad University, Hamedan, Iran
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
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.
http://jlta.iauctb.ac.ir/article_520622_679af548d569f570d0e290d3f5bd193f.pdf
Critical point
Semilinear elliptic system
Nonlinear boundary value problem
Fibering map
Nehari manifold
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-06-01
05
01
15
28
521629
Subcategories of topological algebras
V. L. Gompa
vgompa@jsu.edu
1
Department of Mathematics, Troy University, Dothan, AL 36304, USA
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.
http://jlta.iauctb.ac.ir/article_521629_e164b9beeab103f98558241a96c40cca.pdf
Monotopolocial category
topological category
topological functors
Universal algebra
topological algebra
reflective subcategory
coreflective subcategory, epireflective subcategory
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-06-01
05
01
29
39
522437
Common fixed point results on vector metric spaces
G. Soleimani Rad
gh.soleimani2008@gmail.com
1
I. Altun
ialtun@kku.edu.tr
2
Young Researchers and Elite club, Central Tehran Branch, Islamic Azad University, Tehran, Iran
Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey | King Saud University, College of Science, Riyadh, Saudi Arabia
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 well-known comparable results in the literature.
http://jlta.iauctb.ac.ir/article_522437_ed74172d3ea837fc9ce24a67702ed125.pdf
Vector metric space
Riesz space
common fixed point
Weakly compatible pairs
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-06-01
05
01
41
46
522724
A note on quasi irresolute topological groups
T. Oner
onertarkan@gmail.com
1
A. Ozek
alperozek88@gmail.com
2
Department of Mathematics, Faculty of Science Mugla Sitk Kocman University, Mugla 48000, Turkey
Department of Mathematics, Graduate School of Natural and Applied Sciences Mugla Sitki Kocman University, Mugla 48000, Turkey
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 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.
http://jlta.iauctb.ac.ir/article_522724_b241a672faa0e27d440efefec12801f6.pdf
Semi-open set
semi-closed set
irresolute mapping
semi-homeomorphism
quasi irresolute topological group
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-06-01
05
01
47
53
522722
F-Closedness in Bitopological Spaces
A. A. Nasef
nasefa50@yahoo.com
1
A. Azzam
azzam0911@yahoo.com
2
Department of Physics and Engineering Mathematics, Faculty of Engineering, KafrEl-Sheikh University, Kafr El-Sheikh, Egypt
Department of Mathematics, Faculty of Science, Assuit University, New Valley, Egypt
The 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.
http://jlta.iauctb.ac.ir/article_522722_7448d945db2068090e4678378f07ec94.pdf
F-closed
pairwise F-closed
pairwise S-closed
pairwise strongly compact
pairwise quasi H-closed
pairwise almost co-compact
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-06-01
05
01
55
62
522726
Probability of having $n^{th}$-roots and n-centrality of two classes of groups
M. Hashemi
m_hashemi@guilan.ac.ir
1
M. Polkouei
mikhakp@yahoo.com
2
Faculty of Mathematical Sciences, University of Guilan, P.O.Box 41335-19141, Rasht, Iran
Faculty of Mathematical Sciences, University of Guilan, P.O.Box 41335-19141, Rasht, Iran
In this paper, we consider the finitely 2-generated groups $K(s,l)$ and $G_m$ as follows:$$K(s,l)=langle a,b|ab^s=b^la, ba^s=a^lbrangle,\G_m=langle a,b|a^m=b^m=1, {[a,b]}^a=[a,b], {[a,b]}^b=[a,b]rangle$$ and find the explicit formulas for the probability of having nth-roots for them. Also, we investigate integers n for which, these groups are n-central.
http://jlta.iauctb.ac.ir/article_522726_3c193b3446bc6297d55473826577a373.pdf
Nilpotent groups
$n^{th}$-roots
n-central groups
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-06-01
05
01
63
66
522731
Recognition by prime graph of the almost simple group PGL(2, 25)
A. Mahmoudifar
alimahmoudifar@gmail.com
1
Department of Mathematics, Tehran-North Branch, Islamic Azad University, Tehran, Iran
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.
http://jlta.iauctb.ac.ir/article_522731_a8e3e45808ccf2cc905a3c147ea28722.pdf
linear group
Almost simple group
prime graph
element order
Frobenius group