摘要
本文通过引进(幂零元)左(右)zorn链条件,近似Her—(单侧)理想,k—商环等概念,讨论Her—环的性质,得到一系列结果。有些结果使得文[1]中结果成为其推论,并给出环上Kothe猜测3成立的一个充要条件,由此给出环上Herstern猜测成立的一个充要条件(定理2.2)。
We call Her-ring which all commutator of this ring are nilpoteut elements.
In this paper, we introduce (nilpoteut element) left (right) zorn chain condition.
Kothe-quotieut rings, and so ou, study properties of Her-rings, obtain a series
of important results, and results of [1] are corollaries of results in this paper.
On the other hands, we give a sufficient and uecessary Coudition of Kothe
conjecture and give a sufficient and necessary coudition of Herstein conjecture
出处
《曲阜师范大学学报（自然科学版）》
CAS
1989年第1期20-24,共5页
Journal of Qufu Normal University(Natural Science)
