TY - JOUR ID - 4074 TI - Characterization of ^ϕ-amenability and ^ϕ-module amenability of semigroup algebras JO - Journal of Algebra and Related Topics JA - JART LA - en SN - 2345-3931 AU - Grailo Tanha, S. AD - Esfarayen University of Technology, Esfarayen, North Khorasan,Iran Y1 - 2019 PY - 2019 VL - 7 IS - 2 SP - 1 EP - 7 KW - Banach modules KW - Inverse semigroup KW - Semigroup algebras KW - Module amenability KW - $phi$-amenability DO - 10.22124/jart.2019.14642.1168 N2 - For every inverse semigroup $S$ with subsemigroup $E$ of idempotents, necessary and sufficient conditions are obtained for the semigroup algebra $\l ^{1}(S)$  to be $\hat{\phi}$-amenable and $\hat{\phi}$-module amenable. Also, we characterize the character amenability of semigroup algebra $l^1(S)$. UR - https://jart.guilan.ac.ir/article_4074.html L1 - https://jart.guilan.ac.ir/article_4074_6a8f128b1c1515cb4f46d037c59e761a.pdf ER -