Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201030320141220Signature submanifolds for some equivalence problems121130510040ENM. NadjakhahIran University of Science and Technology, Tehran, IranZ. Pahlevani TehraniIran University of Science and Technology, Tehran, IranJournal Article20140920This article concerned on the study of signature submanifolds for curves under Lie group actions SE(2), SA(2) and for surfaces under SE(3). Signature submanifold is a regular submanifold which its coordinate components are differential invariants of an associated manifold under Lie group action, and therefore signature submanifold is a key for solving equivalence problems.http://jlta.iauctb.ac.ir/article_510040_261d6b9f50a7b2d889b8d8449ea29062.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201030320141220Tripled coincidence point under ϕ-contractions in ordered $G_b$-metric spaces131147510041ENR. Jalal ShahkoohiDepartment of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, IranS. A. KazemipourDepartment of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, IranA. Rajabi EyvaliDepartment of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, IranJournal Article20140727In this paper, tripled coincidence points of mappings satisfying $psi$-contractive conditions in the framework of partially ordered $G_b$-metric spaces are obtained. Our results extend the results of Aydi et al. [H. Aydi, E. Karapinar and W. Shatanawi, Tripled fixed point results in generalized metric space, J. Applied Math., Volume 2012, Article ID 314279, 10 pages]. Moreover, some examples of the main result are given.http://jlta.iauctb.ac.ir/article_510041_8c71453f3309c33b8d74810c975f2fd0.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201030320141229Topological number for locally convex topological spaces with continuous semi-norms149158510042ENM. RahimiI. A. U. Aligudarz Branch, Department of Mathematics, Aligudarz, IranS. M. VaezpourDept. of Math., Amirkabir University of Technology, Hafez Ave, Tehran, IranJournal Article20141011In this paper we introduce the concept of topological number for locally convex topological spaces and prove some of its properties. It gives some criterions to study locally convex topological spaces in a discrete approach.http://jlta.iauctb.ac.ir/article_510042_9013ab49a1395b3f12af88cc68a97c72.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201030320141229Solution of the first order fuzzy differential equations with generalized differentiability159171510043ENL. JamshidiDepartment of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, IranT. AllahviranlooDepartment of Mathematics, Tehran Science and Research Branch, Islamic Azad University, Tehran , IranJournal Article20141012In this paper, we study first order linear fuzzy differential equations with fuzzy coefficient and initial value. We use the generalized differentiability concept and apply the exponent matrix to present the general form of their solutions. Finally, one example is given to illustrate our results.http://jlta.iauctb.ac.ir/article_510043_0a0563d2d7e7f03919c9e34c728d11f0.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201030320141230Higher rank numerical ranges of rectangular matrix polynomials173184510044ENGh. AghamollaeiDepartment of Mathematics, Shahid Bahonar University of Kerman, 76169-14111, Kerman, IranM. ZahraeiDepartment of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, IranJournal Article20151012In this paper, the notion of rank-k numerical range of rectangular complex matrix polynomials are introduced. Some algebraic and geometrical properties are investigated. Moreover, for ϵ > 0; the notion of Birkhoff-James approximate orthogonality sets for ϵ-higher rank numerical ranges of rectangular matrix polynomials is also introduced and studied. The<br /> proposed denitions yield a natural generalization of the standard higher rank numerical ranges.http://jlta.iauctb.ac.ir/article_510044_632f0d1e9a5977e1bd3595b67de5b207.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201030320141230Module amenability and module biprojectivity of θ-Lau product of Banach algebras185196516390END. Ebrahimi BaghaDepartment of Mathematics, Islamic Azad university, Central Tehran Branch, Tehran, IranH. AzaraienDepartment of Mathematics, Islamic Azad university,
Central Tehran Branch, Tehran, IranJournal Article20141002In this paper we study the relation between module amenability of $theta$-Lau product $A×_theta B$ and that of Banach algebras $A, B$. We also discuss module biprojectivity of $A×theta B$. As a consequent we will see that for an inverse semigroup $S$, $l^1(S)×_theta l^1(S)$ is module amenable if and only if $S$ is amenable.http://jlta.iauctb.ac.ir/article_516390_ee89500a6e1521d7040b915580bf0641.pdf