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.
作者
HUANG Chao-ling
黄朝凌(College of Mathematics and Computer Science,Hanjiang Normal Universtiy)
基金
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)
