On the finiteness of the semigroup of conjugacy classes of left ideals for algebras with radical square zero
Volume 142 / 2016
Colloquium Mathematicum 142 (2016), 1-49
MSC: Primary 16P10; Secondary 15A21, 16D99, 20M99.
DOI: 10.4064/cm142-1-1
Abstract
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.
