Projectivity

Abstract

In working with homological invariants — the “groups” and numbers defined in the preceding chapter — it is necessary first of all to deal with the question of what projective objects (in the categories of modules of various types) we have at our disposal. In point of fact, this means clarifying the connections between projectivity and the properties of algebras and modules expressed in traditional terminology.KeywordsCompact GroupBanach AlgebraApproximation PropertyLeft IdealDual PairThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.