Bear根的几种新的刻划

Some New Characterizations of Bear-Radical

本文引入了环R的近似平方为零的理想,近似T幂零理想,以及环R的弱m序列,次强幂零元的概念,并由此给出了环R的Bear根的几种新的刻划。

In this paper, we introduce the following conceptions: quasi-square-zero-ideal,quasi-T-nilpotence ideal and weakly m-sequence of ring R. sub-strog nilpotence element. and use these conception to give some new characeri/ations of Bear-radical of R.