Tau-Tilting Modules Over Triangular Matrix Artin Algebras

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION（2021）

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摘要

Let Lambda and Gamma be artin algebras and T := ((Lambda)(M)(0)(Gamma)) the triangular matrix algebra with M a finitely generated (Lambda, Gamma)-bimodule. We construct support tau-tilting modules and (tau-)tilting modules in modT from that in mod Lambda and mod Gamma, and give the converse constructions under some condition.

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关键词

Triangular matrix algebras, (support) tau-tilting modules, tilting modules, torsion pairs, functorially finite subcategories

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