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386384

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

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Last updated: 31 Dec 2024

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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.

DOI

org/10.1016/j.joems.2012.08.006

Authors

First Name

Yasien

Last Name

Gouda

MiddleName

Ghallab

Affiliation

Dept. of Mathematics, Faculty of Science at Aswan, South Valley University, Aswan, EgyptDept. of Mathematics, Faculty of Science, South Valley University, Aswan, Egypt

Email

yasiengouda@yahoo.com

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Volume

20

Article Issue

2

Related Issue

51034

Issue Date

2012-07-01

Receive Date

2024-10-15

Publish Date

2012-07-01

Page Start

53

Page End

56

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_386384.html

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https://joems.journals.ekb.eg/service?article_code=386384

Order

386,384

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

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

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Type

Article

Created At

21 Dec 2024