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math.FA2006
Flat cyclic Fréchet modules, amenable Fréchet algebras, and approximate identities
A. Yu. Pirkovskii
Let A be a locally m-convex Fréchet algebra. We give a necessary and sufficient condition for a cyclic Fréchet A-module X=A_+/I to be strictly flat, generalizing thereby a criterio…
math.FA2006★ 2 cited
Approximate characterizations of projectivity and injectivity for Banach modules
A. Yu. Pirkovskii
We characterize projective and injective Banach modules in approximate terms, generalizing thereby a characterization of contractible Banach algebras given by F. Ghahramani and R.…