Pseudo-amenability of certain semigroup algebras |
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Authors: | M Essmaili M Rostami A Pourabbas |
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Institution: | 1.Faculty of Mathematical and Computer Science,Tarbiat Moallem University,Tehran,Iran;2.Faculty of Mathematical and Computer Science,Amirkabir University of Technology,Tehran,Iran |
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Abstract: | In this paper, we investigate the pseudo-amenability of semigroup algebra ? 1(S), where S is an inverse semigroup with uniformly locally finite idempotent set. In particular, we show that for a Brandt semigroup \(S={\mathcal{M}}^{0}(G,I)\), the pseudo-amenability of ? 1(S) is equivalent to the amenability of G. |
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