On Serial Artinian Modules and Their Endomorphism Rings

被引：0

作者：

Sanpinij, Supunnee ^{[1
]}

Van Sanh, Nguyen ^{[2
]}

机构：

[1] Mahidol Univ, Dept Math, Bangkok 10400, Thailand

[2] Mahidol Univ, Ctr Excellence Math, Dept Math, Bangkok, Thailand

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2013年 / 37卷 / 03期

关键词：

Serial module; Indecomposable module; Quasi-injective module; Quasi-projective module; Artinian module;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It was shown that for an Artinian serial right R-module M, if M is quasi-pinjective and a progenerator in sigma [M], then the Endomorphism ring S = End (M-R) is serial Artinian (two-sided). As a corollary, every right serial right Artinian ring which is right self-p-injective is left serial left Artinian.

引用

页码：401 / 404

页数：4

共 12 条

[1]

Anderson F. W., 1974, RINGS CATEGORIES MOD

[2]

Clark J, 2006, FRONT MATH, P1

[3]

Dung N. V., 1996, EXTENDING MODULES

[4]

Faith C., 1973, ALGEBRA RINGS MODULE

[5] ON INDECOMPOSABLE INJECTIVES OVER ARTINIAN RINGS [J].

FULLER, KR .

PACIFIC JOURNAL OF MATHEMATICS, 1969, 29 (01) :115-&

[6]

Kasch K.F., 1982, LONDON MATH SOC MONO

[7]

MOHAMED SH, 1990, CONTINUOUS DISCRETE

[8]

Osofsky B.L., 1982, PAC J MATH, V14, P646

[9]

Sanh N.V., 2000, SE ASIAN B MATH, V24, P559

[10]

SANH NV, 1999, ALGEBRA C, V6, P269

← 1 2 →