Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060320171201Characterization of $(delta, varepsilon)$-double derivation on rings and algebras191198536041ENZ. JokarDepartment of Mathematics, Mashhad Branch, Islamic Azad University-Mashhad, IranA. NiknamDepartment of Mathematics, Ferdowsi University of Mashhad and Center of Excellence in Analysis on Algebraic Structures (CEAAS) Ferdowsi University, Mashhad, IranJournal Article20170809This paper is an attempt to prove the following result:<br />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<br />begin{equation}<br />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<br />end{equation}<br />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 $mathcal{R}$.http://jlta.iauctb.ac.ir/article_536041_aedee60f073470d0b117dec680f647ff.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060320171210Fuzzy almost generalized $e$-continuous mappings199206536043ENA. VadivelDepartment of Mathematics, Annamalai University, Annamalai Nagar, Chidambaram, IndiaB. VijayalakshmiDepartment of Mathematics, Annamalai University, Annamalai Nagar, Chidambaram, IndiaJournal Article20170309In 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.http://jlta.iauctb.ac.ir/article_536043_7c95502bdd6dbd302abcc73a7c43fdb4.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060320171201Spectral triples of weighted groups207216535473ENM. AminiFaculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, IranKh. ShamsolkotabiFaculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, IranJournal Article20170923We 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.http://jlta.iauctb.ac.ir/article_535473_459ae47dbf75a963e1abf29ccf773a7f.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060320171001On some Frobenius groups with the same prime graph as the almost simple group ${ {bf PGL(2,49)}}$217221536045ENA. MahmoudifarDepartment of Mathematics, Tehran North Branch, Islamic Azad University, Tehran, IranJournal Article20161225The 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 $Hnotcong G$. 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.http://jlta.iauctb.ac.ir/article_536045_3d85a99b67d0a27c0d4b71dd3929b61e.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060320171201Interval valued fuzzy weak bi-ideals of $Gamma$-near-rings223236536046ENV. ChinnaduraiDepartment of Mathematics, Annamalai University, Annamalainagar-608 002, India0000-0003-1088-6207K. ArulmozhiDepartment of Mathematics, Annamalai University, Annamalainagar-608 002, IndiaS. KadalarasiDepartment of Mathematics, Annamalai University, Annamalainagar-608 002, IndiaJournal Article20170511In 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.http://jlta.iauctb.ac.ir/article_536046_58c0e14373c1b677c32ee78eaa568fea.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060320171201Numerical solution of a system of fuzzy polynomial equations by modified Adomian decomposition method237250533329ENM. MoslehDepartment of Mathematics, Islamic Azad University, Firoozkooh Branch, Firoozkooh, IranJournal Article20160510In 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.http://jlta.iauctb.ac.ir/article_533329_b24e6cc5af50a208735f84fbe9de87fd.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060320170901Fixed point theory in generalized orthogonal metric space251260533328ENM. Eshaghi GordjiDepartment of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranH. HabibiDepartment of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranJournal Article20170806In 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.http://jlta.iauctb.ac.ir/article_533328_9d7078d29a5d86c4c5315da8f03e673b.pdf