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 24 条

[1] Localization of modular lattices, krull dimension, and the Hopkins-Levitzki Theorem .2. [J].

Albu, T ;

Smith, PF .

COMMUNICATIONS IN ALGEBRA, 1997, 25 (04) :1111-1128

[2] Dual Krull dimension and quotient finite dimensionality [J].

Albu, TA ;

Iosif, M ;

Teply, ML .

JOURNAL OF ALGEBRA, 2005, 284 (01) :52-79

[3]

Anderson F. W., 1974, Rings and Categories of Modules

[4]

[Anonymous], 2010, Matroid theory

[5]

CAMILLO V, 1978, COMMUN ALGEBRA, V6, P345, DOI 10.1080/00927877808822249

[6] DIMENSION MODULES [J].

CAMILLO, VP ;

ZELMANOWITZ, JM .

PACIFIC JOURNAL OF MATHEMATICS, 1980, 91 (02) :249-261

[7] INFINITE GOLDIE DIMENSIONS [J].

DAUNS, J ;

FUCHS, L .

JOURNAL OF ALGEBRA, 1988, 115 (02) :297-302

[8]

DAWSON JE, 1985, EUROP J COMBINATORIC, V6, P37

[9]

Dawson Jeremy E., 1985, EUR J COMBIN, V6, P29

[10]

DELVALLE A, 1994, COMMUN ALGEBRA, V22, P1257

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