LINEAR PROPERTIES OF GOLDIE DIMENSION OF MODULES AND MODULAR LATTICES

被引：2

作者：

Puczylowski, Edmund R. ^{[1
]}

机构：

[1] Univ Warsaw, Inst Math, PL-02097 Warsaw, Poland

来源：

GLASGOW MATHEMATICAL JOURNAL | 2010年 / 52A卷

关键词：

KRULL DIMENSION; SUM;

D O I：

10.1017/S0017089510000273

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We survey some old and recent results concerning the Goldie dimension of modules and modular lattices and its properties which are counterparts of properties of the dimension of linear spaces.

引用

页码：139 / 150

页数：12

共 50 条

[1] A linear property of Goldie dimension of modules and modular lattices
Puczylowski, Edmund R.
JOURNAL OF PURE AND APPLIED ALGEBRA, 2011, 215 (07) : 1596 - 1605
[2] ON INFINITE GOLDIE-DIMENSION OF MODULAR LATTICES AND MODULES
GRZESZCZUK, P
PUCZYLOWSKI, ER
JOURNAL OF PURE AND APPLIED ALGEBRA, 1985, 35 (02) : 151 - 155
[3] DIMENSION MODULES AND MODULAR LATTICES
Domagalska, P.
Puczylowski, E. R.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2012, 11 (05)
[4] MODULES OF FINITE GOLDIE DIMENSION
ZAND, H
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A74 - A74
[5] On the Goldie dimension of injective modules
Pardo, JLG
Asensio, PAG
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1998, 41 : 265 - 275
[6] On the Goldie dimension of rings and modules
Dinh, Hai Q.
Asensio, Pedro A. Guil
Lopez-Permouth, Sergio R.
JOURNAL OF ALGEBRA, 2006, 305 (02) : 937 - 948
[7] GOLDIE-DIMENSION OF A SUM OF MODULES
DELVALLE, A
COMMUNICATIONS IN ALGEBRA, 1994, 22 (04) : 1257 - 1269
[8] ON BALANCED LATTICES AND GOLDIE-DIMENSION OF BALANCED LATTICES
ZOLOTAREV, AP
SIBERIAN MATHEMATICAL JOURNAL, 1994, 35 (03) : 539 - 546
[9] On modules with infinite Goldie dimension and relative Krull dimension
Tchernev, A.M.
Vestnik Moskovskogo Universiteta, Seriya 1 (Matematika Mekhanika), (05):
[10] On modules with infinite Goldie dimension and relative Krull dimension
Tchernev, AM
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1996, (05): : 98 - 101

← 1 2 3 4 5 →