A note on approximately biflat banach algebras
  In this paper, we study the notion of approximately bi at Banach algebras for second dual Banach algebras and semigroup algebras. We show that for a locally compact group G, if S(G)?? is approximately bi at, then G is amenable group. Also we give some conditions which the second dual of a Triangular Banach algebra is never approximately bi at. For a uniformly locally finite semigroup S, we show that `1(S) is approximately bi at if and only if `1(S) is bi at. 
Amir Sahami
math.FA