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

被引:13
|
作者
CAMPS, R [1 ]
FACCHINI, A [1 ]
机构
[1] UNIV UDINE,DIPARTIMENTO MATEMAT & INFORMAT,I-33100 UDINE,ITALY
关键词
D O I
10.1080/00927879408825018
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we characterize the (commutative) Prufer 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 SIGMA-pure-injective modules over Prufer rings (Theorems 3.4 and 3.5).
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页码:3133 / 3157
页数:25
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