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Generalized biprojectivity and biflatness of abstract Segal algebras. (English) Zbl 1408.43001

Summary: We investigate generalized amenability, contractibility, biprojectivity and biflatness properties of various classes of abstract Segal algebras with respect to the Banach algebra \(\mathcal{A}\). Moreover, we verify some of the previous available results about Segal algebras, for abstract Segal algebras.

MSC:

43A07 Means on groups, semigroups, etc.; amenable groups
46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)
46H10 Ideals and subalgebras
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References:

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