eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-08-01
05
02
67
81
522776
Asymptotic aspect of quadratic functional equations and super stability of higher derivations in multi-fuzzy normed spaces
M. khanehgir
mkhanehgir@gmail.com
1
F. Hasanvand
firozehasanvand@yahoo.com
2
Department of Mathematics, Mashhad Branch, Islamic Azad University, P.O.Box 91735, Mashhad, Iran
Department of Mathematics, Mashhad Branch, Islamic Azad University, P.O.Box 91735, Mashhad, Iran
In this paper, we introduce the notion of multi-fuzzy 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 multi-fuzzy Banach algebras
http://jlta.iauctb.ac.ir/article_522776_3a16dc1c8a807ffd275d55f0d4dc2967.pdf
fuzzy normed space
higher derivation
Hyers-Ulam-Rassias stability
multi-normed space
quadratic functional equation
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-08-01
05
02
83
91
522777
Bipolar general fuzzy automata
M. Horry
mohhorry@yahoo.com
1
Department of Mathematics Shahid Chamran University of Kerman, Kerman, Iran
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.
http://jlta.iauctb.ac.ir/article_522777_1b5b237115ee7ef40a11058fc1c1958d.pdf
Fuzzy automata
closure
operator
bipolar valued fuzzy set
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-08-01
05
02
93
104
523028
Common fixed point of four maps in $S_b$-Metric spaces
S. Radenovic
radens@beotel.net
1
Sh. Sedghi
sedghigh@yahoo.com
2
A. Gholidahneh
gholidahneh.s@gmail.com
3
T. Dosenovic
tatjanad@tf.uns.ac.rs
4
J. Esfahani
esfahani.kor@gmail.com
5
Faculty of Mechanical Engineering, University of Belgrade, Serbia
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
Faculty of Technology, University of Novi Sad, Bulevar cara Lazara 1, Serbia
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
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.
http://jlta.iauctb.ac.ir/article_523028_f5e63d18f0cde338db78527fb4edf152.pdf
Common fixed point
$S_b$-metric spaces
compatible mappings
Cauchy sequence
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-09-14
05
02
105
109
524829
On Baer type criterion for $C$-dense, $C$-closed and quasi injectivity
H. Barzegar
h56bar@tafreshu.ac.ir
1
H. Arianpoor
arianpoor@tafreshu.ac.ir
2
Department of Mathematics, Tafresh University, Tafresh 3951879611, Iran
Department of Mathematics, Tafresh University, Tafresh 3951879611, Iran
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.
http://jlta.iauctb.ac.ir/article_524829_2c14172f65b2bce937f618ec33f45521.pdf
$C$-dense injective
$C$-closed injective
quasi-injective
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-08-01
05
02
111
118
523066
On categories of merotopic, nearness, and filter algebras
V. Gompa
vgompa@jsu.edu
1
Department Head and Professor of Mathematics, Jacksonville State University, Jacksonville, AL 36265, USA
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.
http://jlta.iauctb.ac.ir/article_523066_120f8c5b9dd3adb2819b84506452092d.pdf
Universal algebra
topological algebra
nearness spaces
merotopic spaces
filter spaces
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-08-01
05
02
119
133
523399
Random fixed point theorems with an application to a random nonlinear integral equation
R. A. Rashwan
rr_rashwan54@yahoo.com
1
H. A. Hammad
2
Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt
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.
http://jlta.iauctb.ac.ir/article_523399_69f4db719563a49c477d1a7034e2c26d.pdf
Random fixed point
nonlinear integral random equation
contractively generalized hybrid
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-09-01
05
02
135
144
524220
On $m^{th}$-autocommutator subgroup of finite abelian groups
A. Gholamian
ali.ghfath@gmail.com
1
M. M. Nasrabadi
mnasrabadi@birjand.ac.ir
2
Department of Mathematics, Birjand Education, Birjand, Iran | Farhangian University, Shahid Bahonar Campus, Birjand, Iran
Department of Mathematics, University of Birjand, Birjand, Iran
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.
http://jlta.iauctb.ac.ir/article_524220_bdb6ef0bd4fbb031fe7071d39769ddf3.pdf
Automorphism
Lower autocentral series
Finite Abelian group