On the tameness of trivial extension algebras
Volume 149 / 1996
Fundamenta Mathematicae 149 (1996), 171-181
DOI: 10.4064/fm-149-2-171-181
Abstract
For a finite dimensional algebra A over an algebraically closed field, let T(A) denote the trivial extension of A by its minimal injective cogenerator bimodule. We prove that, if $T_A$ is a tilting module and $B=End T_A$, then T(A) is tame if and only if T(B) is tame.
