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math.FA2010
The Arens-Michael envelope of a smash product
A. Yu. Pirkovskii
Given a Hopf algebra H and an H-module algebra A, we explicitly describe the Arens-Michael envelope of the smash product A#H in terms of the Arens-Michael envelope of H and a certa…
math.FA2010
Homological dimensions and approximate contractibility for K"othe algebras
A. Yu. Pirkovskii
We give a survey of our recent results on homological properties of K"othe algebras, with an emphasis on biprojectivity, biflatness, and homological dimension. Some new results on…