<abstract xmlns="http://www.w3.org/1999/xhtml">In this article the pseudo-amenability and pseudo-contractibility of restricted semigroup algebra <inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mrow><msubsup><mrow><mi>l</mi></mrow><mi>r</mi><mn>1</mn></msubsup><mo>(</mo><mi>S</mi><mo>)</mo></mrow></math><tex-math>$l_r^1(S)$</tex-math></alternatives></inline-formula> and semigroup algebra, <italic>l</italic>1(<italic>Sr</italic>) on restricted semigroup, <italic>Sr</italic> 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 <italic>S</italic> = <italic>M</italic>0(<italic>G, I</italic>)is a Brandt semigroup, pseudo-amenability of <italic>l</italic>1(<italic>Sr</italic>) is equivalent to its pseudo-contractibility.</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.

Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra"}

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...

Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra

Publié en ligne: 23 févr. 2019

Pages: 89 - 102

Reçu: 26 mars 2018

Accepté: 17 juil. 2018

DOI: https://doi.org/10.2478/aupcsm-2018-0008

Mots clés
and phrases: pseudo-amenable, pseudo-contractible, restricted semigroup, semi-group algebra

© 2018 Olufemi J. Ogunsola et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra

Publié en ligne: 23 févr. 2019

Pages: 89 - 102

Reçu: 26 mars 2018

Accepté: 17 juil. 2018

DOI: https://doi.org/10.2478/aupcsm-2018-0008

Mots clésand phrases: pseudo-amenable, pseudo-contractible, restricted semigroup, semi-group algebra

© 2018 Olufemi J. Ogunsola et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
and phrases: pseudo-amenable, pseudo-contractible, restricted semigroup, semi-group algebra