@Article{Jokar2017,
author="Jokar, Z.
and Niknam, A.",
title="Characterization of $(\delta, \varepsilon)$-double derivation on rings and algebras",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="06",
number="03",
pages="191-198",
abstract="This paper is an attempt to prove the following result:Let $n>1$ be an integer and let $\mathcal{R}$ be a $n!$-torsion-free ring with the identity element. Suppose that $d, \delta, \varepsilon$ are additive mappings satisfying\begin{equation}d(x^n) = \sum^{n}_{j=1}x^{n-j}d(x)x^{j-1}+\sum^{n-1}_{j=1}\sum^{j}_{i=1}x^{n-1-j}\Big(\delta(x)x^{j-i}\varepsilon(x)+\varepsilon(x)x^{j-i}\delta(x)\Big)x^{i-1}\quad\end{equation}for all $x \in \mathcal{R}$. If $\delta(e) = \varepsilon(e) = 0$, then $d$ is a Jordan $(\delta, \varepsilon)$-double derivation. In particular, if $\mathcal{R}$ is a semiprime algebra and further, $\delta(x) \varepsilon(x) + \varepsilon(x) \delta(x) = \frac{1}{2}\Big[(\delta \varepsilon + \varepsilon \delta)(x^2) - (\delta \varepsilon(x) + \varepsilon \delta(x))x - x (\delta \varepsilon(x) + \varepsilon \delta(x))\Big]$ holds for all $x \in \mathcal{R}$, then $d - \frac{\delta \varepsilon + \varepsilon \delta}{2}$ is a derivation on $\mathcal{R}$.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_536041.html"
}
@Article{Vadivel2017,
author="Vadivel, A.
and Vijayalakshmi, B.",
title="Fuzzy almost generalized $e$-continuous mappings",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="06",
number="03",
pages="199-206",
abstract="In this paper, we introduce and characterize the concept of fuzzy almost generalized $e$-continuous mappings. Several interesting properties of these mappings are also given. Examples and counter examples are also given to illustrate the concepts introduced in the paper. We also introduce the concept of fuzzy $f T_{\frac{1}{2}}e$-space, fuzzy $ge$-space, fuzzy regular $ge$-space and fuzzy generalized $e$-compact space. It is seen that a fuzzy almost generalized $e$-continuous mapping from a fuzzy $f T_{\frac{1}{2}}e$-space to another fuzzy topological space becomes fuzzy almost continuous mapping.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_536043.html"
}
@Article{Amini2017,
author="Amini, M.
and Shamsolkotabi, Kh.",
title="Spectral triples of weighted groups",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="06",
number="03",
pages="207-216",
abstract="We study spectral triples on (weighted) groups and consider functors between the categories of weighted groups and spectral triples. We study the properties of weights and the corresponding functor for spectral triples coming from discrete weighted groups.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_535473.html"
}
@Article{Mahmoudifar2017,
author="Mahmoudifar, A.",
title="On some Frobenius groups with the same prime graph as the almost simple group ${ {\bf PGL(2,49)}}$",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="06",
number="03",
pages="217-221",
abstract="The prime graph of a finite group $G$ is denoted by $\Gamma(G)$ whose vertex set is $\pi(G)$ and two distinct primes $p$ and $q$ are adjacent in $\Gamma(G)$, whenever $G$ contains an element with order $pq$. We say that $G$ is unrecognizable by prime graph if there is a finite group $H$ with $\Gamma(H)=\Gamma(G)$, in while $H\not\cong G$. In this paper, we consider finite groups with the same prime graph as the almost simple group $\textrm{PGL}(2,49)$. Moreover, we construct some Frobenius groups whose prime graphs coincide with $\Gamma(\textrm{PGL}(2,49))$, in particular, we get that $\textrm{PGL}(2,49)$ is unrecognizable by its prime graph.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_536045.html"
}
@Article{Chinnadurai2017,
author="Chinnadurai, V.
and Arulmozhi, K.
and Kadalarasi, S.",
title="Interval valued fuzzy weak bi-ideals of $\Gamma$-near-rings",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="06",
number="03",
pages="223-236",
abstract="In this paper, we introduce the concept of interval valued fuzzy weak bi-ideals of $\Gamma$-near-rings, which is a generalized concept of fuzzy weak bi-ideals of $\Gamma$- near-rings. We also characterize some properties and examples of interval valued fuzzy weak bi-ideals of $\Gamma$-near-rings.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_536046.html"
}
@Article{Mosleh2017,
author="Mosleh, M.",
title="Numerical solution of a system of fuzzy polynomial equations by modified Adomian decomposition method",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="06",
number="03",
pages="237-250",
abstract="In this paper, we present some efficient numerical algorithm for solving system of fuzzy polynomial equations based on Newton's method. The modified Adomian decomposition method is applied to construct the numerical algorithms. Some numerical illustrations are given to show the efficiency of algorithms.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_533329.html"
}
@Article{EshaghiGordji2017,
author="Eshaghi Gordji, M.
and Habibi, H.",
title="Fixed point theory in generalized orthogonal metric space",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="06",
number="03",
pages="251-260",
abstract="In this paper, among the other things, we prove the existence and uniqueness theorem of fixed point for mappings on a generalized orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point of Cauchy problem for the first order differential equation.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_533328.html"
}