Net subrings of generalized matrix rings

被引：0

作者：

A. V. Yakovlev

机构：

来源：

Journal of Mathematical Sciences | 1997年 / 83卷 / 5期

关键词：

Left Ideal; Disjoint Subset; Projective Module; Regular Element; Noetherian Ring;

D O I：

10.1007/BF02434859

中图分类号：

学科分类号：

摘要：

Let Λ be a ring with the following properties: (a) Λ is a direct sum of left ideals P1,..., Pn; (b) every nontrivial homomorphism Pi→Pj is a monomorphism; (c) for every i, j the intersection of any two submodules of Pj isomorphic to Pi contains a submodule isomorphic to Pi. Then Λ can be represented as a subring associated with a net of ideals in a generalized matrix ring. Bibliography: 5 titles.

引用

页码：680 / 688

页数：8