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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc91-0-16, author = {Alexei Yu. Pirkovskii}, title = {Homological dimensions and approximate contractibility for K\"othe algebras}, journal = {Banach Center Publications}, volume = {89}, year = {2010}, pages = {261-278}, zbl = {1216.46064}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc91-0-16} }
Alexei Yu. Pirkovskii. Homological dimensions and approximate contractibility for Köthe algebras. Banach Center Publications, Tome 89 (2010) pp. 261-278. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc91-0-16/