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Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra Cover

Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra

Open Access
|Feb 2019

Abstract

In this article the pseudo-amenability and pseudo-contractibility of restricted semigroup algebra lr1(S)$l_r^1(S)$ 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.

DOI: https://doi.org/10.2478/aupcsm-2018-0008 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X
Language: English
Page range: 89 - 102
Submitted on: Mar 26, 2018
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Accepted on: Jul 17, 2018
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Published on: Feb 23, 2019
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2019 Olufemi J. Ogunsola, Ifeyinwa E. Daniel, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.