Tame tensor products of algebras

• Autorzy: Zbigniew Leszczyński , Andrzej Skowroński
• Języki publikacji: EN

Abstrakty

EN

With the help of Galois coverings, we describe the tame tensor products $A ⊗_{K} B$ 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.

Kategorie tematyczne

• 16S10: Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.)
• 16G20: Representations of quivers and partially ordered sets
• 16S34: Group rings , Laurent polynomial rings
• 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 98
• Numer: 1
• Strony: 125-145

Daty

wydano

2003

Twórcy

autor

Zbigniew Leszczyński

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Andrzej Skowroński

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm98-1-10