关于MZR环的根

On Radical of MZR Ring

本文证明了1)对MZR环来说Jacobson根与Z根在弱意义之下不是一致的。2)对MZR环来说,若R的同态象也是MZR环,则R的Jacobson根与Bear根在强意义之下一致。

In this paper, the following theorems are proved:1) If R is MZR Jacobson radical ring, then R is not Z radical ring.2) If R is MZR ring and a homomorhic image of R is MZR ring, then J (R) - B (R).