JOURNAL ARTICLE

On character projectivity Of Banach modules

Majied DehghanS. Ostadbashi

Year: 2020 Journal:   Caspian Journal of Mathematical Sciences (CJMS)peer Vol: 9 (2)Pages: 159-169

Abstract

Let $A$ be a Banach algebra, $Omega(A)$ be the character space of $A$ and $alphainOmega(A)$. In this paper, we examine the characteristics of $alpha$-projective (injective) $A$-modules and demonstrate that these character-based $A$-modules also satisfy well-known classical homological properties on Banach $A$-modules.

Keywords:
Character (mathematics) Injective function Mathematics Banach algebra Pure mathematics Algebra over a field Banach space Banach manifold Projective module Injective module Projective test Lp space Geometry

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Topics

Advanced Operator Algebra Research
Physical Sciences →  Mathematics →  Mathematical Physics
Advanced Topics in Algebra
Physical Sciences →  Mathematics →  Algebra and Number Theory
Advanced Banach Space Theory
Physical Sciences →  Mathematics →  Mathematical Physics

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