Open AccessOn the cohomology of Banach A∞-module over admissible Banach A∞-algebra
Author(s) -
Y. Gh. Gouda
Publication year - 2012
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2012.08.006
Subject(s) - mathematics , cohomology , banach algebra , pure mathematics , banach manifold , algebra over a field , banach space , lp space
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 existence of the A∞-module structure