Module Amenability and Tensor Product of Semigroup Algebras

Authors

  • Abasalt Bodaghi

DOI:

https://doi.org/10.30495/jme.v0i0.72

Keywords:

Banach modules, module derivation, module amenability, inverse semigroup.

Abstract

Let S be an inverse semigroup with an upward directed set of idempotents E. In this paper we prove that if S is amenable, then l1(S)l1(S) is module amenable as an l1(E)-module. Also we show that l1(S)l1(S) is module super-amenable if an appropriate group homomorphic image of S is finite.

Author Biography

Abasalt Bodaghi

Department of Mathematics Assistant Professor of Mathematics Islamic Azad University, Garmsar-Branch Garmsar, Iran.

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Published

2010-04-02

Issue

Vol 4 (2009-2010)

Section

Vol. 4, No. 2 (2010)

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