Auslander-Reiten sequences in subcategories of lattices

CHEN Yiping

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Auslander-Reiten sequences in subcategories of lattices

CHEN Yiping * #

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

*Correspondence author

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Funding: RFDP（No.20130141120035）, NSFC（No.11301398）

Opened online:19 June 2017

Accepted by: none

Citation: CHEN Yiping.Auslander-Reiten sequences in subcategories of lattices[OL]. [19 June 2017] http://en.paper.edu.cn/en_releasepaper/content/4737488

Let $R$ be a complete discrete rank one valuation ringwith quotient field $K$, and let $Lambda$ be an order over $R$satisfying that $Kotimes_R Lambda$ is semisimple. In this paper,we give sufficient and necessary conditions for the existence ofAuslander-Reiten sequences in subcategories of lattices.

Keywords:Rings and algebras; Auslander-Reiten sequences; lattices; orders

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