@article {
author = {Pourmahmood-Aghababa, H. and Sattari, M. H.},
title = {Approximate biprojectivity and biflatness of some algebras over certain semigroups},
journal = {Journal of the Iranian Mathematical Society},
volume = {1},
number = {2},
pages = {145-155},
year = {2020},
publisher = {Iranian Mathematical Society},
issn = {2717-1612},
eissn = {2717-1612},
doi = {10.30504/jims.2020.107698},
abstract = {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.},
keywords = {Banach algebras,approximate biprojectivity,biflatness,inverse semigroups},
url = {https://jims.ims.ir/article_107698.html},
eprint = {https://jims.ims.ir/article_107698_f1cce5a41ba06bdadbd87490a3330180.pdf}
}