Tau-tilting modules over trivial extenstions
Zhi-Wei Li, Xiaojin Zhang

TL;DR
This paper investigates support tau-tilting modules over trivial extensions of finite-dimensional algebras, extending previous results on triangular matrix rings by constructing new classes via adjoint functors.
Contribution
It introduces two new classes of support tau-tilting modules over trivial extensions, generalizing prior work on triangular matrix rings using adjoint functors.
Findings
Constructed two classes of support tau-tilting modules
Extended and generalized results on triangular matrix rings
Provided new methods for studying tau-tilting modules
Abstract
We study (support) -tilting modules over the trivial extensions of finite dimensional algebras. More precisely, we construct two classes of (support)-tilting modules in terms of the adjoint functors which extend and generalize the results on (support) -tilting modules over triangular matrix rings given by Gao-Huang.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Rings, Modules, and Algebras
