On the cohomology of Banach A1-module over admissible Banach A1-algebra | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 20, Issue 2, 2012, Page 53-56 PDF (289.75 K) | ||||
DOI: org/10.1016/j.joems.2012.08.006 | ||||
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Author | ||||
Yasien Ghallab Gouda | ||||
Dept. of Mathematics, Faculty of Science at Aswan, South Valley University, Aswan, EgyptDept. of Mathematics, Faculty of Science, South Valley University, Aswan, Egypt | ||||
Abstract | ||||
In this paper we are concerned with Banach A1-module M over admissible Banach A1-algebra A. We give some properties of admissible modules and algebras. We study the cohomology of the complex C1(A,M). We show that the vanishing of cohomology of this complex in certain dimensions implies to the existence of the A1-module structure. | ||||
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