. In this paper left φ-biflatness of abstract Segal algebras is investigated. For a locally compact group G, we show that any abstract Segal algebra with respect to L 1 (G) is left φ-biflat if and only if the underlying group G is amenable. We then prove that the Lipschitz algebras Lipα (X) and lipα (X) are left C-φ-biflat if and only if X is finite. Finally, we also study left φ-biflatness of lower triangular matrix algebras.
