Tau-tilting modules over trivial extenstions

preprint2022arXivOpen access

Abstract

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

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