Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra
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 semigroups such as Brandt semigroup, and Clifford semigroup. We particularly show the e...
| Main Authors: | , |
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| Format: | Article |
| Language: | deu |
| Published: |
Sciendo
2018-12-01
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| Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| Subjects: | |
| Online Access: | http://studmath.up.krakow.pl/index.php/studmath/article/view/294 |
| Summary: | 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 semigroups 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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| ISSN: | 2081-545X 2300-133X |