2n-Weak module amenability of semigroup algebras
الموضوعات :
K. Fallahi
1
,
H. Ghahramani
2
1 - Department of Mathematics, Payam Noor University of Technology, Tehran, Iran
2 - Department of Mathematics, University of Kurdistan, P. O. Box 416, Sanandaj, Iran
الکلمات المفتاحية: Banach module, module derivation, inverse semigroup, 2n-weak module amenability, semigroup algebra,
ملخص المقالة :
Let $S$ be an inverse semigroup with the set of idempotents $E$.We prove that the semigroup algebra $\ell^{1}(S)$ is always$2n$-weakly module amenable as an $\ell^{1}(E)$-module, for any$n\in \mathbb{N}$, where $E$ acts on $S$ trivially from the leftand by multiplication from the right. Our proof is based on a common fixed point property for semigroups.
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