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

Supported by

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);

Abstract

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. 

Cite this article

HUANG Chao-ling . When Exchange Rings are Von Neumann Regular[J]. Chinese Quarterly Journal of Mathematics, 2019 , 34(1) : 21 -28 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.01.003

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