A linear property 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：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2011年 / 215卷 / 07期
关键词：
KRULL DIMENSION; SUM;
D O I：
10.1016/j.jpaa.2010.09.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We describe modular lattices with 0 for which a counterpart of the property that minimal generating subsets of linear spaces are their bases is satisfied and those for which cardinalities of minimal generating sets are equal to the Goldie dimension. The results obtained on lattices are applied to modules. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：1596 / 1605
页数：10
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