Pseudo FQ-Injective Modules

被引：0

作者：

Zhu Zhanmin ^{[1
]}

机构：

[1] Jiaxing Univ, Dept Math, Jiaxing 314001, Zhejiang, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2013年 / 36卷 / 02期

关键词：

PFQ-injective modules; PQF-injective modules; PF-injective rings; Endomorphism rings; RINGS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A module M-R is called pseudo FQ-injective (or PFQ-injective for short) if every monomorphism from a finitely generated submodule of M to M extends to an endomorphism of M. Some characterizations and properties of this class of modules are investigated. In particular, finitely generated PFQ-injective modules are studied.

引用

页码：385 / 391

页数：7

共 18 条

[1]

[Anonymous], 2003, CAMBRIDGE TRACTS MAT, DOI DOI 10.1017/CBO9780511546525

[2]

Baupradist S, 2011, SOUTHEAST ASIAN BULL, V35, P21

[3] On (m, n)-injectivity of modules [J].

Chen, JL ;

Ding, NQ ;

Li, YL ;

Zhou, YQ .

COMMUNICATIONS IN ALGEBRA, 2001, 29 (12) :5589-5603

[4] Modules with semi-local endomorphism ring [J].

Herbera, D ;

Shamsuddin, A .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (12) :3593-3600

[5]

Hai HD, 2009, SOUTHEAST ASIAN BULL, V33, P1063

[6] QUASI-INJECTIVE AND PSEUDOINJECTIVE MODULES [J].

JAIN, SK ;

SINGH, S .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1975, 18 (03) :359-365

[7] ON A CLASS OF QI-RINGS [J].

JAIN, SK ;

LOPEZPERMOUTH, SR ;

SINGH, S .

GLASGOW MATHEMATICAL JOURNAL, 1992, 34 :75-81

[8]

Jampachon P., 2000, SE ASIAN B MATH, V24, P559

[9] PRINCIPALLY INJECTIVE-RINGS [J].

NICHOLSON, WK ;

YOUSIF, MF .

JOURNAL OF ALGEBRA, 1995, 174 (01) :77-93

[10]

Ramamurthi V. S., 1973, J AUSTRAL MATH SOC, V16, P239

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