MHR超幂零半单环的若干结果

SOME RESULS ON THE SUPERNILPOTENT SEMISIMPLE RINGS

本文把Artin-半单环的Wedderburn理论推广到MHR超幂零半单环上而获得一些结果

In this paper, we obtained the following main results: Theorem 1 Let A be a MHR-semiprime ring, then I = eA for every nonzero principal right ideal I of A, where e is an idempotent in A. Corollary 1 A MHR-semiprime ring is always a regular ring in the sense of Von Neumann. Theorem 2 Let S be a supernilpotent radical, then a ring A is a MHR ring and S-semisimple ring if and only if A is the direct sum of MHR-simple rings.