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

来源：

COMMUNICATIONS IN ALGEBRA | 1994年 / 22卷 / 08期

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).

引用

页码：3133 / 3157

页数：25

共 50 条

[1] MODULES WITH REGULAR, PERFECT, NOETHERIAN OR ARTINIAN ENDOMORPHISM-RINGS
KHURI, SM
[J]. LECTURE NOTES IN MATHEMATICS, 1990, 1448 : 7 - 18
[2] PRUFER DOMAINS AND ENDOMORPHISM-RINGS OF THEIR IDEALS
FONTANA, M
HUCKABA, JA
PAPICK, IJ
ROITMAN, M
[J]. JOURNAL OF ALGEBRA, 1993, 157 (02) : 489 - 516
[3] ON ENDOMORPHISM-RINGS OF QUASIPROJECTIVE MODULES
HERNANDEZ, JLG
PARDO, JLG
[J]. MATHEMATISCHE ZEITSCHRIFT, 1987, 196 (01) : 87 - 108
[4] ON ENDOMORPHISM-RINGS OF CANONICAL MODULES
AOYAMA, Y
[J]. LECTURE NOTES IN MATHEMATICS, 1986, 1183 : 56 - 58
[5] SEMICOCRITICAL MODULES AND THEIR ENDOMORPHISM-RINGS
YOSHIMURA, H
[J]. COMMUNICATIONS IN ALGEBRA, 1989, 17 (11) : 2663 - 2682
[6] ON ENDOMORPHISM-RINGS OF MODULES OVER HENSELIAN RINGS
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[J]. COMMUNICATIONS IN ALGEBRA, 1990, 18 (05) : 1323 - 1335
[7] ENDOMORPHISM-RINGS AND DUAL MODULES
PARDO, JLG
[J]. JOURNAL OF ALGEBRA, 1990, 130 (02) : 477 - 493
[8] ENDOMORPHISM-RINGS OF TORSIONLESS MODULES
HUTCHINSON, JJ
[J]. COMMUNICATIONS IN ALGEBRA, 1987, 15 (09) : 1921 - 1927
[9] ARTINIAN-MODULES OVER COMMUTATIVE RINGS
SHARP, RY
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1992, 111 : 25 - 33
[10] MODULES OVER ENDOMORPHISM-RINGS
GUPTA, AK
VARADARAJAN, K
[J]. COMMUNICATIONS IN ALGEBRA, 1980, 8 (14) : 1291 - 1333

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