MODULE COHOMOLOGY GROUP OF INVERSE SEMIGROUP ALGEBRAS

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NASRABADI E.; POURABBAS A.

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ISSN: 2588-4824

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2011 | Volume:37 | Issue:4 Page(s): 157-169

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Title

MODULE COHOMOLOGY GROUP OF INVERSE SEMIGROUP ALGEBRAS

Author(s)

NASRABADI E. | POURABBAS A. | Issue Writer Certificate

Keywords

MODULE AMENABILITY

INVERSE SEMI GROUP ALGEBRA

MODULE COHOMOLOGY GROUP

Abstract

Let S be an inverse semigroup and let E be its subsemigroup of idempotents. In this paper we define the n-th module co-homology group of Banach algebras and show that the first module co-homology group Hl1(E) 1 (l1 (S), l1(S) (n)) is zero, for every odd nÎN. Next, for a Clifford semigroupS we show that Hl1(E) 2 (l1(S), l1(S) (n)) is a Banach space, for every odd nÎN.

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APA: Copy

NASRABADI, E., & POURABBAS, A.. (2011). MODULE COHOMOLOGY GROUP OF INVERSE SEMIGROUP ALGEBRAS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(4), 157-169. SID. https://sid.ir/paper/572440/en

Vancouver: Copy

NASRABADI E., POURABBAS A.. MODULE COHOMOLOGY GROUP OF INVERSE SEMIGROUP ALGEBRAS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(4):157-169. Available from: https://sid.ir/paper/572440/en

IEEE: Copy

E. NASRABADI, and A. POURABBAS, “MODULE COHOMOLOGY GROUP OF INVERSE SEMIGROUP ALGEBRAS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 4, pp. 157–169, 2011, [Online]. Available: https://sid.ir/paper/572440/en

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