Some Characterizations for Approximate Biflatness of Semigroup Algebras

N. Razi, A. Sahami and Faranak Farshadifar

Journal of Mathematics, 2023, vol. 2023, 1-3

Abstract: In this paper, we study an approximate biflatness of l1S, where S is a Clifford semigroup. Indeed, we show that a Clifford semigroup algebra l1S is approximately biflat if and only if every maximal subgroup of S is amenable, ES is locally finite, and l1S has an approximate identity in c00S. Moreover, we prove that l1S is approximately biflat if and only if each maximal subgroup of S is amenable for an inverse semigroup S such that ES, the set of its idempotent elements, is totally ordered and locally finite.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9961772

DOI: 10.1155/2023/9961772

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