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- Title
Pseudo-contractibility and pseudo-amenability of semigroup algebras.
- Authors
Essmaili, M.; Rostami, M.; Medghalchi, A.
- Abstract
In this paper, we characterize pseudo-contractibility of ℓ( S), where S is a uniformly locally finite inverse semigroup. As a consequence, we show that for a Brandt semigroup $${S={\mathcal{M}}^{0}(G,I),}$$ the semigroup algebra ℓ( S) is pseudo-contractible if and only if G and I are finite. Moreover, we study the notions of pseudo-amenability and pseudo-contractibility of a semigroup algebra ℓ( S) in terms of the amenability of S.
- Subjects
SEMIGROUP algebras; ALGEBRA; SEMIGROUPS (Algebra); GROUP theory; MATHEMATICS
- Publication
Archiv der Mathematik, 2011, Vol 97, Issue 2, p167
- ISSN
0003-889X
- Publication type
Article
- DOI
10.1007/s00013-011-0289-3