Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
02
2016
10
01
Asymptotic aspect of quadratic functional equations and super stability of higher derivations in multi-fuzzy 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 multi-fuzzy normed spaces and establish an asymptotic behavior of the quadraticfunctional equations in the setup of such spaces. We then investigate the superstability of strongly higher derivations in the framework of multi-fuzzy Banach algebras
fuzzy normed space,higher derivation,Hyers-Ulam-Rassias stability,multi-,normed 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)
2252-0201
2345-5934
05
02
2016
10
01
Bipolar general fuzzy automata
83
91
EN
M
Horry
Shahid Chamran 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.
(General) 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)
2252-0201
2345-5934
05
02
2016
10
01
Common fixed point of four maps in Sb-Metric spaces
93
104
EN
S
Radenovic
Faculty of Mechanical Engineering, University of Belgrade, Serbia
radens@beotel.rs
Sh
Sedghi
1Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
sedghigh@yahoo.com
A
Gholidahneh
2Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
gholidahneh.s@gmail.com
T
Dosenovic
3Faculty 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 Sb metric space. For this new kind of spaces it has been proved a common xed point theorem for four mappings which satisfy generalized contractive condition. We also present example to conrm our theorem.
Common fxed point,Sb-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)
2252-0201
2345-5934
05
02
2016
10
01
On Baer type criterion for $C$-dense, $C$-closed and quasi injectivity
105
109
EN
H
Barzegar
Tafresh university
h56bar@tafreshu.ac.ir
H
Arianpoor
Tafresh university
arianpoor@tafreshu.ac.ir
For the subclasses ${mathcal M}_1$ and ${mathcal M}_2$ ofmonomorphisms in a concrete category $mathcal C$, if ${mathcalM}_2subseteq {mathcal M}_1$, then ${mathcal M}_1$-injectivityimplies ${mathcal M}_2$-injectivity. The Baer type criterion is about the converse of this fact. In this paper, we apply injectivity to the classes of {it $C$-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,quasi-injective
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)
2252-0201
2345-5934
05
02
2016
10
01
On categories of merotopic, nearness, and filter algebras
111
118
EN
V
Gompa
Troy University. 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)
2252-0201
2345-5934
05
02
2016
10
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 xed 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)
2252-0201
2345-5934
05
02
2016
10
01
On $m^{th}$-autocommutator subgroup of finite abelian groups
135
144
EN
A
Gholamian
Farhangian University, Shahid Bahonar Campus, Birjand, Iran
ali.ghfath@gmail.com
M. M
Nasrabadi
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 naturalnumber $m$, the $m^{th}$-autocommutator subgroup of $G$ is definedas: $$K_{m}(G)=langle[g,alpha_{1},ldots,alpha_{m}] |gin G,alpha_{1},ldots,alpha_{m}in Aut(G)rangle.$$In this paper, we obtain the $m^{th}$-autocommutator subgroup ofall 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