• Title of article

    2n-Weak module amenability of semigroup algebras

  • Author/Authors

    Fallahi ، K. - ‎Payam Noor University of Technology‎‎‎‎‎ , Ghahramani ، H. - University of Kurdistan

  • Pages
    7
  • From page
    203
  • To page
    209
  • Abstract
    Abstract. Let S be an inverse semigroup with the set of idempotents E. We prove that the semigroup algebra ℓ1(S) is always 2n-weakly module amenable as an ℓ1(E)-module, for any n ∈ 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.
  • Keywords
    2n , weak module amenability , inverse semigroup , semigroup algebra , Banach module , module derivation
  • Journal title
    Journal of Linear and Topological Algebra
  • Serial Year
    2019
  • Journal title
    Journal of Linear and Topological Algebra
  • Record number

    2469891