@ARTICLE{Nasrabadi,
author = {Nasrabadi, Ebrahim and },
title = {(2n)-Weak Module Amenability of Triangular Banach Algebras on Semigroup Algebras},
volume = {9},
number = {3},
abstract ={Let $S$ be a commutative (not necessary unital) inverse semigroup with the set of idempotents $E$. Consider semigroup algebras $ell^1(S)$ and $ell^1(E)$ and triangular Banach algebras $mathcal{T}=begin{bmatrix}ell^1(S) &ell^1(S) /M_0&ell^1(S)end{bmatrix}$ and $mathfrak{T}={begin{bmatrix}alpha &0&alphaend{bmatrix}: alpha in ell^1(E)]}$, where $M_0$ be the closed linear span of ${delta_{es}-delta_s: ein E, sin S}$. Recently, the author of this paper along with Pourabbas shown that for every $nin N$, $(2n+1)$-weak module amenability of $mathcal{T}} (as a $mathfrak{T}$-module) and $(2n+1)$-weak module amenability of $ell^1(S)} (as a $ell^1(E)$-module), are equal. In this paper, we extend this result and prove that the result is also true for the even state (2n)-weak module amenability, in the non-unitary state of these algebras. },
URL = {http://mmr.khu.ac.ir/article-1-3203-en.html},
eprint = {http://mmr.khu.ac.ir/article-1-3203-en.pdf},
journal = {Mathematical Researches},
doi = {},
year = {2023}
}