@Article{khanehgir2016,
author="khanehgir, M.
and Hasanvand, F.",
title="Asymptotic aspect of quadratic functional equations and super stability of higher derivations in multi-fuzzy normed spaces",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2016",
volume="05",
number="02",
pages="67-81",
abstract="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",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_522776.html"
}
@Article{Horry2016,
author="Horry, M.",
title="Bipolar general fuzzy automata",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2016",
volume="05",
number="02",
pages="83-91",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_522777.html"
}
@Article{Radenovic2016,
author="Radenovic, S.
and Sedghi, Sh.
and Gholidahneh, A.
and Dosenovic, T.
and Esfahani, J.",
title="Common fixed point of four maps in $S_b$-Metric spaces",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2016",
volume="05",
number="02",
pages="93-104",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_523028.html"
}
@Article{Barzegar2016,
author="Barzegar, H.
and Arianpoor, H.",
title="On Baer type criterion for $C$-dense, $C$-closed and quasi injectivity",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2016",
volume="05",
number="02",
pages="105-109",
abstract="For the subclasses $\mathcal{M}_1$ and $\mathcal{M}_2$ of monomorphisms in a concrete category $\mathcal{C}$, if $\mathcal{M}_2\subseteq \mathcal{M}_1$, 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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_524829.html"
}
@Article{Gompa2016,
author="Gompa, V.",
title="On categories of merotopic, nearness, and filter algebras",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2016",
volume="05",
number="02",
pages="111-118",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_523066.html"
}
@Article{Rashwan2016,
author="Rashwan, R. A.
and Hammad, H. A.",
title="Random fixed point theorems with an application to a random nonlinear integral equation",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2016",
volume="05",
number="02",
pages="119-133",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_523399.html"
}
@Article{Gholamian2016,
author="Gholamian, A.
and Nasrabadi, M. M.",
title="On $m^{th}$-autocommutator subgroup of finite abelian groups",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2016",
volume="05",
number="02",
pages="135-144",
abstract="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: $$K_{m} (G)=\langle[g,\alpha_{1},\ldots,\alpha_{m}] |g\in G,\alpha_{1},ldots,\alpha_{m}\in Aut(G)\rangle.$$ In this paper, we obtain the $m^{th}$-autocommutator subgroup of all finite abelian groups.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_524220.html"
}