WHEN IS A SELF-INJECTIVE SEMIPERFECT RING QUASI-FROBENIUS

被引：19

作者：

CLARK, J ^{[1
]}

VANHUYNH, D ^{[1
]}

机构：

[1] INST MATH,HANOI,VIETNAM

来源：

JOURNAL OF ALGEBRA | 1994年 / 165卷 / 03期

关键词：

D O I：

10.1006/jabr.1994.1128

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that a right self-injective semiperfect ring R is quasi-Frobenius if and only if every uniform submodule of any projective right R-module is contained in a finitely generated submodule. (C) 1994 Academic Press, Inc.

引用

页码：531 / 542

页数：12

共 24 条

[1]

Anderson F. W., 1974, RINGS CATEGORIES MOD

[2]

[Anonymous], 1960, T AM MATH SOC, DOI 10.1090/S0002-9947-1960-0157984-8

[3] RINGS WITH DCC ON ESSENTIAL LEFT IDEALS [J].

ARMENDARIZ, EP .

COMMUNICATIONS IN ALGEBRA, 1980, 8 (03) :299-308

[4]

Baba Y., 1990, TSUKUBA J MATH, V14, P53, DOI 10.21099/tkbjm/1496161318

[5] ENDOMORPHISM-RINGS OF MODULES OVER NON-SINGULAR CS RINGS [J].

CHATTERS, AW ;

KHURI, SM .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1980, 21 (JUN) :434-444

[6] LEFT PF IS NOT RIGHT PF [J].

DISCHINGER, F ;

MULLER, W .

COMMUNICATIONS IN ALGEBRA, 1986, 14 (07) :1223-1227

[7] SELF-INJECTIVE RINGS [J].

FAITH, C .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 77 (02) :157-164

[8]

Faith C., 1976, ALGEBRA 2 RING THEOR

[9]

FAITH C, 1990, SELFINJECTIVE RINGS

[10]

GOODEARL KR, 1989, LONDON MATH SOC STUD, V16

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