Multi-layer quivers and higher slice algebras

Author:

Guo Jin Yun1,Hu Yanping1,Luo Deren2ORCID

Affiliation:

1. MOE-LCSM, School of Mathematics, and Statistics, Hunan Normal University, Changsha, Hunan 410081, P. R. China

2. School of Mathematics, Hunan Institute, of Science and Technology, Yueyang, Hunan 414000, P. R. China

Abstract

In this paper, we introduce multi-layer quivers and show how to construct an [Formula: see text]-slice algebra of infinite type from an [Formula: see text]-slice algebra of infinite type using the bound quivers. This leads to constructing [Formula: see text]-slice algebras of infinite type as matrix algebra and as tensor algebra of an [Formula: see text]-slice algebra and equivalences of their module categories as the module categories of diagram of some quiver of type [Formula: see text].

Funder

National Natural Science Foundation of China

Construct Program of the Key Discipline in Hunan Province

Scientific Research Foundation of Hunan Provincial Education Department

research and innovation team of Hunan Institute of Science and Technology

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On n-hereditary algebras and n-slice algebras;Journal of Algebra;2024-12

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