A generalization of the -weak module amenability of banach algebras

作者：Arslan Berna^*; Inceboz Hulya

来源：Semigroup Forum, 2015, 91(3): 625-640.

DOI：10.1007/s00233-014-9668-y

• Banach algebra
• Banach module
• (sigma)-module derivation
• (sigma)-n-weak module amenability
• Semigroup algebras

In this paper, we generalize the notion of -weak module amenability of a Banach algebra which is a Banach module over another Banach algebra with compatible actions to that of -weak module amenability for and . We also investigate the relation between this new concept of amenability of and the quotient Banach algebra where is the closed ideal of generated by elements of the form for and . As a consequence, we show that the semigroup algebra is --weakly module amenable as an -module for each and , where is an inverse semigroup with the set of idempotents E.

• 出版日期2015-12