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Keywords:
module amenable; module biflat; module biprojective; semigroup algebra
module amenable; module biflat; module biprojective; semigroup algebra
Summary:
We find some relations between module biprojectivity and module biflatness of Banach algebras $\mathcal A$ and $\mathcal B$ and their projective tensor product $\mathcal A \mathbin {\widehat \otimes }\mathcal B$. For some semigroups $S$, we study module biprojectivity and module biflatness of semigroup algebras $l^{1}(S)$.
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