替换环什么时候是冯诺依曼正则环

黄朝凌

doi:10.13371/j.cnki.chin.q.j.m.2019.01.003

数学季刊 >

2019 , Vol. 34 >Issue 1: 21 - 28

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.01.003

替换环什么时候是冯诺依曼正则环

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College of Mathematics and Computer Science,Hanjiang Normal Universtiy

HUANG Chao-ling, male, native of Xiangyang Hubei, Doctor, major in Homological Algebra and Algebraic K-theory.

录用日期: 2016-12-30

网络出版日期: 2020-10-06

基金资助

supported by the guidance project of scientific research plan of Educational Adminstration of Hubei Province,China(B2016162)； the plan of science and technology innovation team of excellent young and middle-age of Hubei province(T201731)；

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When Exchange Rings are Von Neumann Regular

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College of Mathematics and Computer Science,Hanjiang Normal Universtiy

HUANG Chao-ling, male, native of Xiangyang Hubei, Doctor, major in Homological Algebra and Algebraic K-theory.

Accepted date: 2016-12-30

Online published: 2020-10-06

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摘要

We study when exchange rings are von Neumann regular. An exchange ring R with primitive factors Artinian is von Neumann regular, if the Jacobson radical of any indecomposable homomorphic image of R is T-nilpotent, and if any indecomposable homomorphic image of R is semiprime. Every indecomposable semiprimitive factor ring of R is regular, if R is an exchange ring such that every left primitive factor ring of R is a ring of index at most n and if R has nil-property.

关键词： exchange ring; von Neumann regular ring; strong ?-regular ring

本文引用格式

黄朝凌 . 替换环什么时候是冯诺依曼正则环[J]. 数学季刊, 2019 , 34(1) : 21 -28 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.01.003

Abstract

Key words： exchange ring; von Neumann regular ring; strong ?-regular ring

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