首页|Triangular matrix algebras over affine quasi-hereditary algebras

Triangular matrix algebras over affine quasi-hereditary algebras

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  • Elsevier
We prove that the triangular matrix algebra Lambda = ((H)(H) (0)(H)) is an affine quasi-hereditary algebra if and only if H is an affine quasi-hereditary algebra. Moreover, the category of Delta-good Lambda-modules, the global dimension and the characteristic tilting module of Lambda are described by using the corresponding ones of H. In the appendix, we prove that certain centralizer algebra and quotient algebra of an affine quasi-hereditary algebra are affine quasi-hereditary. (C) 2021 Elsevier Inc. All rights reserved.

Triangular matrix algebrasAffine quasi-hereditary algebrasDelta-good modulesCharacteristic tilting modules

Yang, Guiyu

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Shandong Univ Technol

2022

10.1016/j.laa.2021.10.009

Linear Algebra and its Applications

Linear Algebra and its Applications

EISCI
ISSN：0024-3795
年,卷(期)：2022.633
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