Tau-tilting modules over trivial extenstions

Published 1 Dec 2021 in math.RT | (2112.00310v4)

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

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