On the cohomology of Banach A∞-module over admissible Banach A∞-algebra

In this paper we are concerned with Banach A∞-module M over admissible Banach A∞-algebra A. We give some properties of admissible modules and algebras. We study the cohomology of the complex C∞(A,M). We show that the vanishing of cohomology of this complex in certain dimensions implies to the existe...

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Bibliographic Details
Main Author: Y. Gh. Gouda
Format: Article
Language:English
Published: SpringerOpen 2012-07-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X12000211