Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra

Authors

  • Olufemi J. Ogunsola Federal University of Agriculture
  • Ifeyinwa E. Daniel Spiritan University

Keywords:

pseudo-amenable, pseudo-contractible, restricted semigroup, semi- group algebra.

Abstract

In this article the pseudo-amenability and pseudo-contractibility of restricted semigroup algebra lr1(S) and semigroup algebra, l1(Sr) on restricted semigroup, Sr are investigated for different classes of inverse semi-groups such as Brandt semigroup, and Clifford semigroup. We particularly show the equivalence between pseudo-amenability and character amenability of restricted semigroup algebra on a Clifford semigroup and semigroup algebra on a restricted semigroup. Moreover, we show that when S = M0(G, I)is a Brandt semigroup, pseudo-amenability of l1(Sr) is equivalent to its pseudo-contractibility.

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Published

2018-12-07

How to Cite

Ogunsola, O. J., & Daniel, I. E. (2018). Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 17, 89–102. Retrieved from https://studmath.uken.krakow.pl/article/view/12963

Issue

Vol. 17 (2018)

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