On the finiteness of the semigroup of conjugacy classes of left ideals for algebras with radical square zero

• Autorzy: Arkadiusz Męcel
• Języki publikacji: EN

Abstrakty

EN

Let A be a finite-dimensional algebra over an algebraically closed field with radical square zero, and such that all simple A-modules have dimension at most two. We give a characterization of those A that have finitely many conjugacy classes of left ideals.

Kategorie tematyczne

• 15A21: Canonical forms, reductions, classification
• 16D99: None of the above, but in this section
• 16P10: Finite rings and finite-dimensional algebras
• 20M99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 142
• Numer: 1
• Strony: 1-49

Daty

wydano

2016

Twórcy

autor

Arkadiusz Męcel

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/cm142-1-1