UPPER BOUNDS FOR NOETHERIAN DIMENSION OF ALL INJECTIVE MODULES WITH KRULL DIMENSION

被引：0

作者：

Hashemi, J. ^{[1
]}

Zholanezhad, M. ^{[1
]}

机构：

[1] Shahid Chamran Univ Ahvaz, Dept Math, Ahvaz, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 06期

关键词：

Noetherian dimension; Artinian modules; injective modules; comonoform right ideals; duo rings; PRIME IDEAL; LENGTH; RINGS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give an upper bound for Noetherian dimension of all injective modules with Krull dimension on arbitrary rings. In particular, we also give an upper bound for Noetherian dimension of all Artinian modules on Noetherian duo rings.

引用

页码：2017 / 2025

页数：9

共 20 条

[1] N-DIMENSION AND N-CRITICAL MODULES - APPLICATION TO ARTINIAN-MODULES
CHAMBLESS, L
[J]. COMMUNICATIONS IN ALGEBRA, 1980, 8 (16) : 1561 - 1592
[2] Artinian Serial Modules over Commutative (or, Left Noetherian) Rings are at Most One Step Away from Being Noetherian
Davoudian, M.
Karamzadeh, O. A. S.
[J]. COMMUNICATIONS IN ALGEBRA, 2016, 44 (09) : 3907 - 3917
[3] Goodearl K. R., 1989, An Introduction to Noncommutative Noetherian Rings
[4] NON-ARTINIAN ESSENTIAL EXTENSIONS OF SIMPLE MODULES
GOODEARL, KR
SCHOFIELD, AH
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 97 (02) : 233 - 236
[5] RINGS OVER WHICH THE KRULL DIMENSION AND THE NOETHERIAN DIMENSION OF ALL MODULES COINCIDE
Hashemi, J.
Karamzadeh, O. A. S.
Shirali, N.
[J]. COMMUNICATIONS IN ALGEBRA, 2009, 37 (02) : 650 - 662
[6] JANS JP, 1969, J LONDON MATH SOC, V1, P588
[7] ON ARTINIAN MODULES OVER DUO RINGS
Karamzadeh, N. S.
Karamzadeh, O. A. S.
[J]. COMMUNICATIONS IN ALGEBRA, 2010, 38 (09) : 3521 - 3531
[8] Karamzadeh O. A. S, 1983, B IRAN MATH SOC, V18, P40
[9] On λ-finitely embedded modules
Karamzadeh, OAS
Rahimpour, S
[J]. ALGEBRA COLLOQUIUM, 2005, 12 (02) : 281 - 292
[10] On the Loewy length and the Noetherian dimension of Artinian modules
Karamzadeh, OAS
Nejad, ARS
[J]. COMMUNICATIONS IN ALGEBRA, 2002, 30 (03) : 1077 - 1084

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