Homological dimensions and approximate contractibility for Köthe algebras

• Autorzy: Alexei Yu. Pirkovskii
• Języki publikacji: EN

Abstrakty

EN

We give a survey of our recent results on homological properties of Köthe algebras, with an emphasis on biprojectivity, biflatness, and homological dimension. Some new results on the approximate contractibility of Köthe algebras are also presented.

Kategorie tematyczne

• 16E10: Homological dimension
• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 18G25: Relative homological algebra, projective classes
• 46A45: Sequence spaces (including K\"othe sequence spaces)
• 46M18: Homological methods (exact sequences, right inverses, lifting, etc.)
• 16D40: Free, projective, and flat modules and ideals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 91
• Numer: 1
• Strony: 261-278

Daty

wydano

2010

Twórcy

autor

Alexei Yu. Pirkovskii

• Department of Geometry and Topology, Faculty of Mathematics, State University - Higher School of Economics, Vavilova 7, 117312 Moscow, Russia

Identyfikatory

DOI

10.4064/bc91-0-16