Τ-tilting Modules over Trivial Extensions

Abstract

We study (support) [Formula: see text]-tilting modules over the trivial extensions of finite-dimensional algebras. More precisely, we construct two classes of (support)[Formula: see text]-tilting modules in terms of the adjoint functors which extend and generalize the results on (support) [Formula: see text]-tilting modules over triangular matrix rings given by Gao-Huang.