Original scientific paper

https://doi.org/10.3336/gm.47.2.06

Exchange rings with many units

Huanyin Chen ; Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China

Abstract

A ring R satisfies Goodearl-Menal condition provided that for any x,y R, there exists a u U(R) such that x-u,y-u-1 U(R). If R/J(R) is an exchange ring with primitive factors artinian, then R satisfies Goodearl-Menal condition if, and only if it has no homomorphic images Z/2Z, Z/3Z, M2 (Z/2Z). Exchange rings satisfying the primitive criterion are also studied.

Keywords

Goodearl-Menal condition; exchange ring; semilocal ring

Hrčak ID:

93944

URI

https://hrcak.srce.hr/93944

Publication date:

19.12.2012.

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