The lattice of pre-natural classes of modules

被引：10

作者：

Zhou, YQ ^{[1
]}

机构：

[1] Mem Univ Newfoundland, St Johns, NF A1C 5S7, Canada

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1999年 / 140卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/S0022-4049(98)00007-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and study a new complete lattice whose elements are the so-called pre-natural classes of R-modules. This lattice contains a complete sublattice isomorphic to the complete lattice of all linear topologies of R and a sublattice anti-isomorphic to the frame of all hereditary torsion theories of R. Moreover, the complete Boolean lattice of all natural classes of R-modules is a sublattice of this lattice. Various properties of this new lattice are formulated and some applications to the ring R are given. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：191 / 207

页数：17

共 22 条

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