The prüfer rings that are endomorphism rings of artinian modules

Rosa Camps; Alberto Facchini

doi:10.1080/00927879408825018

The prüfer rings that are endomorphism rings of artinian modules

Rosa Camps, Alberto Facchini

Department of Mathematics

Università degli Studi di Udine

Research output: Contribution to journal › Article › Research › peer-review

16 Citations (Scopus)

Abstract

In this paper we characterize the (commutative) Priifer rings that can be realized as endomorphism rings of artinian modules over arbitrary associative rings with identity (Theorem 4.7). This characterization is obtained by determining the structure of E-pure-injective modules over Priüfer rings (Theorems 3.4 and 3.5). © 1994, Taylor & Francis Group, LLC. All rights reserved.

Original language	English
Pages (from-to)	3133-3157
Journal	Communications in Algebra
Volume	22
Issue number	8
DOIs	https://doi.org/10.1080/00927879408825018
Publication status	Published - 1 Jan 1994

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10.1080/00927879408825018

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abstract = "In this paper we characterize the (commutative) Priifer rings that can be realized as endomorphism rings of artinian modules over arbitrary associative rings with identity (Theorem 4.7). This characterization is obtained by determining the structure of E-pure-injective modules over Pri{\"u}fer rings (Theorems 3.4 and 3.5). {\textcopyright} 1994, Taylor & Francis Group, LLC. All rights reserved.",

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AB - In this paper we characterize the (commutative) Priifer rings that can be realized as endomorphism rings of artinian modules over arbitrary associative rings with identity (Theorem 4.7). This characterization is obtained by determining the structure of E-pure-injective modules over Priüfer rings (Theorems 3.4 and 3.5). © 1994, Taylor & Francis Group, LLC. All rights reserved.

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DO - 10.1080/00927879408825018

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VL - 22

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EP - 3157

JO - Communications in Algebra

JF - Communications in Algebra

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The prüfer rings that are endomorphism rings of artinian modules

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