On complete pure-injectivity in locally finitely presented categories

被引：0

作者：

Berktas, Mustafa Kemal ^{[1
]}

Crivei, Septimiu ^{[2
]}

机构：

[1] Usak Univ, Dept Math, Sci & Art Fac, 1 Eylul Campus, TR-64200 Usak, Turkey

[2] Babes Bolyai Univ, Fac Math & Comp Sci, Str Mihail Kogalniceanu 1, Cluj Napoca 400084, Romania

来源：

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2016年 / 59卷 / 04期

关键词：

Locally finitely presented category; Krull-Schmidt category; indecomposable decomposition; (completely) pure-infective object; semiperfect ring; semisimple ring; Osofsky theorem; MODULES; RINGS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let C be a locally finitely presented additive category, and let E be a finitely presented pure-injective object of C. We prove that E has an indecomposable decomposition if and only if every pure epimorphic image of E is pure-injective if and only if the endomorphism ring of E is semiperfect. This extends a module-theoretic result which generalises the classical Osofsky Theorem.

引用

页码：331 / 337

页数：7

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