2n-Weak module amenability of semigroup algebras

Journal of Linear and Topological Algebra

مقاله 6، دوره 08، شماره 03، آبان 2019، صفحه 203-209   

نوع مقاله: Research Paper

نویسندگان

K. Fallahi¹؛ H. Ghahramani^{* 2}

¹Department of Mathematics‎, ‎Payam Noor University of Technology‎‎‎‎‎, ‎Tehran‎, ‎Iran

²Department of Mathematics‎, ‎University of Kurdistan‎, ‎P‎. ‎O‎. ‎Box 416‎, ‎Sanandaj‎, ‎Iran

چکیده

‎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 left‎ ‎and by multiplication from the right‎. ‎Our proof is based on a common fixed point property for semigroups‎.
 

کلیدواژه‌ها

2n-weak module amenability؛ inverse semigroup؛ semigroup algebra؛ Banach module؛ module derivation

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