Algebras with finite relative dominant dimension and almost n-precluster tilting modules

Li Shen; Zhang Shunhua

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Algebras with finite relative dominant dimension and almost n-precluster tilting modules

机译：代数具有有限的相对主导尺寸和几乎n-prectluster倾斜模块

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摘要

In this paper, we investigate the relative dominant dimension with respect to an injective module and characterize the algebras with finite relative dominant dimension. As an application, we introduce a generalization of n-precluster tilting modules and use this to characterize a class of algebras including the class of n-minimal Auslander-Gorenstein algebras. Moreover, we give a description of the Gorenstein projective modules over algebras from this class. (C) 2020 Elsevier B.V. All rights reserved.

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来源
《Journal of pure and applied algebra》 |2021年第2期|共19页
作者
Li Shen; Zhang Shunhua;
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作者单位

Shandong Univ Sch Math Jinan Shandong Peoples R China;

Shandong Univ Sch Math Jinan Shandong Peoples R China;

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正文语种 eng
中图分类代数、数论、组合理论;
关键词
Relative dominant dimension; Almost n-minimal; Auslander-Gorenstein algebra; Almost n-precluster tilting module;

机译：相对优势维度;几乎n-极小;Auslander-Gorenstein代数;几乎n-预簇倾斜模块;

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2. Irreducible Weight Modules with a Finite-Dimensional Weight Space over the Twisted N z 1 SchrSdinger-Neveu- Schwarz Algebra [J] . Huanxia Fa12, Jianzhi Han3, Junbo Li4 代数集刊：英文版 . 2017,第004期
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机译：关于模数和代数的维数。七。具有有限维残差代数的代数
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8. Differential Geometric Aspects of Parametric Estimation Theory for States on Finite-Dimensional C∗-Algebras [O] . Florio M. Ciaglia, Jürgen Jost, Lorenz Schwachhöfer 2020

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9. Infinite dimensional tilting modules over finite dimensional algebras [O] . Yvind Solberg 2007

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10. Classification of 2-Dimensional Conformal Supergravity Theories with Finite-Dimensional Algebras [R] . McCabe, J. , Velikson, B. 1986

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Algebras with finite relative dominant dimension and almost n-precluster tilting modules

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