Document Type : Original Paper
Authors
1 Department of Mathematic, Faculty of Mathematic Science and Statistics, University of Birjand, Birjand, Islamic Republic of Iran
2 School of Mathematics and Computer Science, Damghan University, Damghan, Islamic Republic of Iran
3 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Islamic Republic of Iran
Abstract
Let be a commutative (not necessary unital) inverse semigroup with the set of idempotents then is a commutative Banach -module with canonical actions. Recently, it is shown that the triangular Banach algebra
is -weakly -module amenable, provided that and is unital or satisfies condition for some . In this paper, we show that is -weakly -module amenable, without any additional conditions on and , if is a certain quotient space of .
Keywords
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