TY - JOUR ID - 107698 TI - Approximate biprojectivity and biflatness of some algebras over certain semigroups JO - Journal of the Iranian Mathematical Society JA - JIMS LA - en SN - AU - Pourmahmood-Aghababa, H. AU - Sattari, M. H. AD - Department of Mathematics‎, University of ‎Tabriz‎, ‎Tabriz‎, ‎Iran. AD - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran. Y1 - 2020 PY - 2020 VL - 1 IS - 2 SP - 145 EP - 155 KW - Banach algebras KW - approximate biprojectivity KW - biflatness KW - inverse semigroups DO - 10.30504/jims.2020.107698 N2 - ‎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. UR - https://jims.ims.ir/article_107698.html L1 - https://jims.ims.ir/article_107698_f1cce5a41ba06bdadbd87490a3330180.pdf ER -