Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
02
2016
08
01
Asymptotic aspect of quadratic functional equations and super stability of higher derivations in multifuzzy normed spaces
67
81
EN
M.
khanehgir
Department of Mathematics, Mashhad Branch, Islamic Azad University, P.O.Box
91735, Mashhad, Iran
mkhanehgir@gmail.com
F.
Hasanvand
Department of Mathematics, Mashhad Branch, Islamic Azad University, P.O.Box
91735, Mashhad, Iran
firozehasanvand@yahoo.com
In this paper, we introduce the notion of multifuzzy normed spaces and establish an asymptotic behavior of the quadratic functional equations in the setup of such spaces. We then investigate the superstability of strongly higher derivations in the framework of multifuzzy Banach algebras
fuzzy normed space,higher derivation,HyersUlamRassias stability,multinormed space,quadratic functional equation
http://jlta.iauctb.ac.ir/article_522776.html
http://jlta.iauctb.ac.ir/article_522776_3a16dc1c8a807ffd275d55f0d4dc2967.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
02
2016
08
01
Bipolar general fuzzy automata
83
91
EN
M.
Horry
Department of Mathematics Shahid Chamran University of Kerman,
Kerman, Iran
mohhorry@yahoo.com
In this paper, we define the notion of a bipolar general fuzzy automaton, then we construct some closure operators on the set of states of a bipolar general fuzzy automaton. Also, we construct some topologies on the set of states of a bipolar general fuzzy automaton. Then we obtain some relationships between them.
Fuzzy automata,closure,operator,bipolar valued fuzzy set
http://jlta.iauctb.ac.ir/article_522777.html
http://jlta.iauctb.ac.ir/article_522777_1b5b237115ee7ef40a11058fc1c1958d.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
02
2016
08
01
Common fixed point of four maps in $S_b$Metric spaces
93
104
EN
S.
Radenovic
Faculty of Mechanical Engineering, University of Belgrade, Serbia
radens@beotel.net
Sh.
Sedghi
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
sedghigh@yahoo.com
A.
Gholidahneh
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
gholidahneh.s@gmail.com
T.
Dosenovic
Faculty of Technology, University of Novi Sad, Bulevar cara Lazara 1, Serbia
tatjanad@tf.uns.ac.rs
J.
Esfahani
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
esfahani.kor@gmail.com
In this paper is introduced a new type of generalization of metric spaces called $S_b$ metric space. For this new kind of spaces it has been proved a common fixed point theorem for four mappings which satisfy generalized contractive condition. We also present example to confirm our theorem.
common fixed point,$S_b$metric spaces,compatible mappings,Cauchy sequence
http://jlta.iauctb.ac.ir/article_523028.html
http://jlta.iauctb.ac.ir/article_523028_f5e63d18f0cde338db78527fb4edf152.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
02
2016
09
14
On Baer type criterion for $C$dense, $C$closed and quasi injectivity
105
109
EN
H.
Barzegar
Department of Mathematics, Tafresh University, Tafresh 3951879611, Iran
h56bar@tafreshu.ac.ir
H.
Arianpoor
Department of Mathematics, Tafresh University, Tafresh 3951879611, Iran
arianpoor@tafreshu.ac.ir
For the subclasses $mathcal{M}_1$ and $mathcal{M}_2$ of monomorphisms in a concrete category $mathcal{C}$, if $mathcal{M}_2subseteq mathcal{M}_1$, then $mathcal{M}_1$injectivity implies $mathcal{M}_2$injectivity. The Baer type criterion is about the converse of this fact. In this paper, we apply injectivity to the classes of $C$dense, $C$closed monomorphisms. The concept of quasi injectivity is also introduced here to investigte the Baer type criterion for these notions.
$C$dense injective,$C$closed injective,quasiinjective
http://jlta.iauctb.ac.ir/article_524829.html
http://jlta.iauctb.ac.ir/article_524829_2c14172f65b2bce937f618ec33f45521.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
02
2016
08
01
On categories of merotopic, nearness, and filter algebras
111
118
EN
V.
Gompa
Department Head and Professor of Mathematics, Jacksonville State University,
Jacksonville, AL 36265, USA
vgompa@jsu.edu
We study algebraic properties of categories of Merotopic, Nearness, and Filter Algebras. We show that the category of filter torsion free abelian groups is an epireflective subcategory of the category of filter abelian groups. The forgetful functor from the category of filter rings to filter monoids is essentially algebraic and the forgetful functor from the category of filter groups to the category of filters has a left adjoint.
Universal algebra,topological algebra,nearness spaces,merotopic spaces,filter spaces
http://jlta.iauctb.ac.ir/article_523066.html
http://jlta.iauctb.ac.ir/article_523066_120f8c5b9dd3adb2819b84506452092d.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
02
2016
08
01
Random fixed point theorems with an application to a random nonlinear integral equation
119
133
EN
R. A.
Rashwan
Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt
rr_rashwan54@yahoo.com
H. A.
Hammad
Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
In this paper, stochastic generalizations of some fixed point for operators satisfying random contractively generalized hybrid and some other contractive condition have been proved. We discuss also the existence of a solution to a nonlinear random integral equation in Banah spaces.
Random fixed point,nonlinear integral random equation,contractively generalized hybrid
http://jlta.iauctb.ac.ir/article_523399.html
http://jlta.iauctb.ac.ir/article_523399_69f4db719563a49c477d1a7034e2c26d.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
02
2016
09
01
On $m^{th}$autocommutator subgroup of finite abelian groups
135
144
EN
A.
Gholamian
Department of Mathematics, Birjand Education, Birjand, Iran

Farhangian University, Shahid Bahonar Campus, Birjand, Iran
ali.ghfath@gmail.com
M. M.
Nasrabadi
Department of Mathematics, University of Birjand, Birjand, Iran
mnasrabadi@birjand.ac.ir
Let $G$ be a group and $Aut(G)$ be the group of automorphisms of $G$. For any natural number $m$, the $m^{th}$autocommutator subgroup of $G$ is defined as: $$K_{m} (G)=langle[g,alpha_{1},ldots,alpha_{m}] gin G,alpha_{1},ldots,alpha_{m}in Aut(G)rangle.$$ In this paper, we obtain the $m^{th}$autocommutator subgroup of all finite abelian groups.
Automorphism,Lower autocentral series,Finite Abelian group
http://jlta.iauctb.ac.ir/article_524220.html
http://jlta.iauctb.ac.ir/article_524220_bdb6ef0bd4fbb031fe7071d39769ddf3.pdf