%0 Journal Article
%T Approximate biprojectivity and biflatness of some algebras over certain semigroups
%J Journal of the Iranian Mathematical Society
%I Iranian Mathematical Society
%Z 2717-1612
%A Pourmahmood-Aghababa, H.
%A Sattari, M. H.
%D 2020
%\ 12/01/2020
%V 1
%N 2
%P 145-155
%! Approximate biprojectivity and biflatness of some algebras over certain semigroups
%K Banach algebras
%K approximate biprojectivity
%K biflatness
%K inverse semigroups
%R 10.30504/jims.2020.107698
%X We investigate (bounded) approximate biprojectivity of $l^1(S)$ for uniformly locally finite inverse semigroups. As a consequence, we show that when $S=\mathcal{M}(G, I)$ is the Brandt inverse semigroup, then $l^1(S)$ is (boundedly) approximately biprojective if and only if $G$ is amenable. Moreover, we study biflatness and (bounded) approximate biprojectivity of the measure algebra $M(S)$ of a topological Brandt semigroup.
%U https://jims.ims.ir/article_107698_f1cce5a41ba06bdadbd87490a3330180.pdf