## Amir Sahami, Mehdi Rostami, Abdolrasoul PourabbasOn left $\varphi$-biflat Banach algebras

Comment.Math.Univ.Carolin. 61,3 (2020) 337-344.

Abstract:We study the notion of left $\varphi$-biflatness for Segal algebras and semigroup algebras. We show that the Segal algebra $S(G)$ is left $\varphi$-biflat if and only if $G$ is amenable. Also we characterize left $\varphi$-biflatness of semigroup algebra $l^{1}(S)$ in terms of biflatness, when $S$ is a Clifford semigroup.

Keywords: left $\varphi$-biflat; Segal algebra; semigroup algebra; locally compact group

DOI: DOI 10.14712/1213-7243.2020.027
AMS Subject Classification: 46M10 43A07 43A20

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