With the help of Galois coverings, we describe the tame tensor products of basic, connected, nonsimple, finite-dimensional algebras A and B over an algebraically closed field K. In particular, the description of all tame group algebras AG of finite groups G over finite-dimensional algebras A is completed.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm98-1-10, author = {Zbigniew Leszczy\'nski and Andrzej Skowro\'nski}, title = {Tame tensor products of algebras}, journal = {Colloquium Mathematicae}, volume = {96}, year = {2003}, pages = {125-145}, zbl = {1065.16011}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm98-1-10} }
Zbigniew Leszczyński; Andrzej Skowroński. Tame tensor products of algebras. Colloquium Mathematicae, Tome 96 (2003) pp. 125-145. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm98-1-10/