2n-Weak module amenability of semigroup algebras

Authors

  • H. Ghahramani Department of Mathematics‎, ‎University of Kurdistan‎, ‎P‎. ‎O‎. ‎Box 416‎, ‎Sanandaj‎, ‎Iran
  • K. Fallahi Department of Mathematics‎, ‎Payam Noor University of Technology‎‎‎‎‎, ‎Tehran‎, ‎Iran
Abstract:

‎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 ‎$nin mathbb{N}$‎, ‎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.  

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Journal title

volume 08  issue 03

pages  203- 209

publication date 2019-08-01

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