Homological dimensions and approximate contractibility for K"othe algebras

2010/06/26 by A. Yu. Pirkovskii, Pirkovskii, A. Yu. · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #math.FA #msc:16D40 #msc:16E10 #msc:18G50 #msc:46A45 #msc:46H25 #msc:46M18

paper · pdf · doi:10.48550/arxiv.1006.5141

18 pages

arxiv created 2010/06/26 · arxiv updated 2010/06/29

Abstract

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 the approximate contractibility of K"othe algebras are also presented.

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