THE PRUFER-RINGS THAT ARE ENDOMORPHISM-RINGS OF ARTINIAN-MODULES

Authors
CAMPS R FACCHINI A
Citation
R. Camps et A. Facchini, THE PRUFER-RINGS THAT ARE ENDOMORPHISM-RINGS OF ARTINIAN-MODULES, Communications in algebra, 22(8), 1994, pp. 3133-3157
Citations number
16
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
22
Issue
8
Year of publication
1994
Pages
3133 - 3157
Database
ISI
SICI code
0092-7872(1994)22:8<3133:TPTAEO>2.0.ZU;2-E
Abstract
In this paper we characterize the (commutative) Prufer rings that can be realized as endomorphism rings of artinian modules over arbitrary a ssociative rings with identity (Theorem 4.7). This characterization is obtained by determining the structure of SIGMA-pure-injective modules over Prufer rings (Theorems 3.4 and 3.5).