Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
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
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 ofsemilinear elliptic systems with nonlinear boundary conditions. Our results is depending onthe local minimization method on the Nehari manifold and some variational techniques. Alsoby using Mountain Pass Lemma, we establish the existence of at least one solution withpositive 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)
2252-0201
2345-5934
05
01
2016
06
01
Subcategories of topological algebras
15
28
EN
V
Gompa
Troy University
vgompa@jsu.edu
In addition to exploring constructions and properties of limits and colimits in categories of topologicalalgebras, we study special subcategories of topological algebras and their properties. In particular, undercertain conditions, reflective subcategories when paired with topological structures give rise to reflectivesubcategories and epireflective subcategories give rise to epireflective subcategories.
monotopolocial category,topological category,topological functors,universal
algebra,topological algebra
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)
2252-0201
2345-5934
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
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 well-known 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)
2252-0201
2345-5934
05
01
2016
06
01
A note on quasi irresolute topological groups
41
46
EN
T
Oner
Muğla Sıtkı Kocman University-Turkey
onertarkan@gmail.com
A
Ozek
Muğla Sıtkı Kocman University-Turkey
alperozek88@gmail.com
In this study, we investigate the further properties of quasi irresolute topological groupsdened in [20]. We show that if a group homomorphism f between quasi irresolute topologicalgroups is irresolute at eG, then f is irresolute on G. Later we prove that in a semi-connectedquasi irresolute topological group (G; ; ), if V is any symmetric semi-open neighborhood ofeG, then G is generated by V . Moreover it is proven that a subgroup H of a quasi irresolutetopological group (G; ; ) is semi-discrete if and only if it has a semi-isolated point.
Semi-open set,semi-closed set,irresolute mapping,semi-homeomorphism,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)
2252-0201
2345-5934
05
01
2016
06
01
F-Closedness in Bitopological Spaces
47
53
EN
A
Azzam
Assuite University
azzam0911@yahoo.com
A
Nasef
*Department of Physics and Engineering Mathematics, Faculty of Engineering, KafrEl-Sheikh University, Kafr El-Sheikh, Egypt.
nasefa50@yahoo.com
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 ofspaces with other corresponding types are established. Moreover, several ofits basic and important properties are discussed.
pairwise S-closed,pairwise
strongly compact,pairwise quasi H-closed,pairwise almost co-compact
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)
2252-0201
2345-5934
05
01
2016
06
01
Probability of having n^th-roots and n-centrality of two classes of groups
55
62
EN
M
Hashemi
University of Guilan
m_hashemi@guilan.ac.ir
M
Polkouei
University of Guilan
mikhakp@yahoo.com
In this paper, we consider the finitely 2-generated groups K(s,l) and G_m as follows:K(s,l) = ;G_m = and find the explicit formulas for the probability of having nth-roots for them. Also weinvestigate integers n for which, these groups are n-central.
Nilpotent groups,nth-roots,n-central 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)
2252-0201
2345-5934
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, Tehran-North Branch, Islamic Azad University, Tehran, Iran
alimahmoudifar@gmail.com
Throughout this paper, every groups are finite. The prime graph of a group G is denotedby (G). Also G is called recognizable by prime graph if for every finite group H with(H) = (G), we conclude that G = H. Until now, it is proved that if k is an odd numberand p is an odd prime number, then PGL(2; pk) is recognizable by prime graph. So if k iseven, the recognition by prime graph of PGL(2; pk), where p is an odd prime number, is anopen problem. In this paper, we generalize this result and we prove that the almost simplegroup 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