Gouda, Y. (2012). On the cohomology of Banach A1-module over admissible Banach A1-algebra. test, 20(2), 53-56. doi: org/10.1016/j.joems.2012.08.006
Yasien Ghallab Gouda. "On the cohomology of Banach A1-module over admissible Banach A1-algebra". test, 20, 2, 2012, 53-56. doi: org/10.1016/j.joems.2012.08.006
Gouda, Y. (2012). 'On the cohomology of Banach A1-module over admissible Banach A1-algebra', test, 20(2), pp. 53-56. doi: org/10.1016/j.joems.2012.08.006
Gouda, Y. On the cohomology of Banach A1-module over admissible Banach A1-algebra. test, 2012; 20(2): 53-56. doi: org/10.1016/j.joems.2012.08.006

On the cohomology of Banach A1-module over admissible Banach A1-algebra

Journal of the Egyptian Mathematical Society
Volume 20, Issue 2, 2012, Pages 53-56    PDF (289.75 K)
DOI: org/10.1016/j.joems.2012.08.006
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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