فهرست مطالب
Journal of Linear and Topological Algebra
Volume:3 Issue: 3, Summer 2014
- تاریخ انتشار: 1393/09/29
- تعداد عناوین: 6
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Pages 121-130
This 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.
Keywords: Signature submanifold, equivalence problem, moving frame, differential invariant -
Pages 131-147In 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.Keywords: Tripled xed point, Generalized weakly contraction, Generalized metric spaces, Partially ordered set
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Pages 149-158In 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.Keywords: Locally convex space, Minkowski functional, Topological number
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Pages 159-171In 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.Keywords: First order fuzzy differential equations, Generalized differentiability, Fuzzy linear differential equations, Exponent matrix
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Pages 173-184In 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 proposed denitions yield a natural generalization of the standard higher rank numerical ranges.Keywords: Rank-k numerical range, isometry, numerical range, rectangular matrix polynomials
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Pages 185-196
In 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.
Keywords: Module amenability, module biprojectivity, θ-Lau product of Banach algebras, inverse semigroup