Existence of almost split sequences in finitely presented functor categories

We study the existence of almost split sequences in the category (mod-$R$)-mod of finitely presented functors over an artin algebra $R$. Our results extend the existence theorem for almost split sequences in the category mod-$R$ of finitely presented $R$-modules.

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Publication Details

Journal
Mathematical Reports
Published
2025-01-01
DOI
https://doi.org/10.59277/mrar.2025.27.77.1.2.61
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
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article

Existence of almost split sequences in finitely presented functor categories

Shoutao Guo, Shengyong Pan
Mathematical Reports
Rings, Modules, and Algebras
article

Existence of almost split sequences in finitely presented functor categories

Shoutao Guo, Shengyong Pan
article en

Abstract

We study the existence of almost split sequences in the category (mod-$R$)-mod of finitely presented functors over an artin algebra $R$. Our results extend the existence theorem for almost split sequences in the category mod-$R$ of finitely presented $R$-modules.

Mathematical ReportsVol. 27(77)(1-2)
Openalex Percentile: Top 82%
Rings, Modules, and Algebras
DOIOpen Access PDFOpenAlex
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Existence of almost split sequences in finitely presented functor categories — Shoutao Guo, Shengyong Pan · Mathematical Reports (2025) | TGRS Research Map | TGRS