Rings whose finitely generated right ideals are quasi-projective

被引：1
|
作者：
Tuganbaev, Askar A. [1 ]
机构：
[1] Natl Res Univ MPEI, Moscow, Russia
来源：
DISCRETE MATHEMATICS AND APPLICATIONS | 2015年 / 25卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
arithmetical ring; quasi-projective module; skew-projective module; integrally closed module; distributive module;
D O I：
10.1515/dma-2015-0024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An invariant ring A is arithmetical if and only if every finitely generated ideal M of the ring A is a quasi-projective A-module and every endomorphism of this module may be extended to an endomorphism of the module A(A). An invariant semiprime ring A is arithmetical if and only if every finitely generated ideal M of the ring A is a quasi-projective A-module.
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页码：245 / 251
页数：7
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