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Some Characterizations for Approximate Biflatness of Semigroup Algebras

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  • N. Razi
  • A. Sahami
  • Faranak Farshadifar

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.

Suggested Citation

  • N. Razi & A. Sahami & Faranak Farshadifar, 2023. "Some Characterizations for Approximate Biflatness of Semigroup Algebras," Journal of Mathematics, Hindawi, vol. 2023, pages 1-3, May.
    • Handle: RePEc:hin:jjmath:9961772
    DOI: 10.1155/2023/9961772
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