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

Departament de Matemàtiques

University of Udine

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Resum

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.

Idioma original	Anglès
Pàgines (de-a)	3133-3157
Revista	Communications in Algebra
Volum	22
Número	8
DOIs	https://doi.org/10.1080/00927879408825018
Estat de la publicació	Publicada - 1 de gen. 1994

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10.1080/00927879408825018

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title = "The pr{\"u}fer rings that are endomorphism rings of artinian modules",

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.",

author = "Rosa Camps and Alberto Facchini",

year = "1994",

month = jan,

day = "1",

doi = "10.1080/00927879408825018",

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T1 - The prüfer rings that are endomorphism rings of artinian modules

AU - Camps, Rosa

AU - Facchini, Alberto

PY - 1994/1/1

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N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/21344490026

U2 - 10.1080/00927879408825018

DO - 10.1080/00927879408825018

M3 - Article

SN - 0092-7872

VL - 22

SP - 3133

EP - 3157

JO - Communications in Algebra

JF - Communications in Algebra

IS - 8

ER -

The prüfer rings that are endomorphism rings of artinian modules

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