Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664099 | Acta Mathematica Scientia | 2013 | 13 Pages |
Abstract
In this article, the approximate amenability of semigroup algebra ℓ1(S) is investigated, where (S) is a uniformly locally finite inverse semigroup. Indeed, we show that for a uniformly locally finite inverse semigroup (S), the notions of amenability, approximate amenability and bounded approximate amenability of ℓ1(S) are equivalent. We use this to give a direct proof of the approximate amenability of ℓ1(S) for a Brandt semigroup (S). Moreover, we characterize the approximate amenability of ℓ1(S), where S is a uniformly locally finite band semigroup.
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Physical Sciences and Engineering
Mathematics
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