The second order cohomology and cyclic cohomology groups of some commutative semigroup algebra

Authors

  • Hussein M. GHLAIO Department of Mathematics, Faculty of Science, Misurata University

DOI:

https://doi.org/10.36602/jsba.2023.16.60

Keywords:

semigroup, cohomology and cyclic cohomology groups, semigroup algebra

Abstract

In this paper, we shall reformulate the second order cohomology and cyclic cohomology groups of some commutative semigroup algebras

References

[1] H. Dales, Banach algebras and automatic continuity, London Math. Soc. Monographs, Volume 24, Clarendon press, Oxford, 2000.

[2] H. Dales and J. Duncan, Second order cohomology groups of some seigroup algebras, Banach Algebras ,97, Proceedings, International Conference on Banach agebras, 13 (1998), 101-117.

[3] F. Gourdeau, A. Pourabbas, and M. White, Simplicial cohomology of some semigroup algebras, Candian Mathematical Bulletin, 50 (2007), 56-70.

[4] H. Ghlaio and C. Read, Irregular abelian semigroups with weakly amenable semigroup algebra, Semigroup Forum, 82 (2011), 367-383.

[5] A. Helemskii, Banach cyclic cohomology and the connes-Tzygan exact sequence, J. London Math. Society, 46 (1992), 449-462.

Published

2023-08-16

How to Cite

M. GHLAIO, H. (2023). The second order cohomology and cyclic cohomology groups of some commutative semigroup algebra. Journal of Science Basic and Applied, (16), 60–66. https://doi.org/10.36602/jsba.2023.16.60

Issue

No. 16 (2023): Issue 16, August, 2023

Section

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