prime ring

on two theorems of prime ring

关于素环的两个定理

Russian Prime Minister Vladimir Putin says he hopes the alleged Russian spy ring scandal will not set back improving Russian-U.S.ties.

俄国总统弗拉基米尔·普京声称所谓的俄国间谍丑闻不会影响俄美之间的关系。

a commutative ring is a prime ring if and only if it is an integral domain.

含单位元的交换环是素环的充要条件是它是整环。

In this paper, the construction theories of rings are generalized to two-group associative rings. Thus, we have: Koethe radical of the ring ( A,Γ) is the intersection of some prime ideals with a certain property;

本文把环论中相应的构造性定理推广到双群结合环，并得到：环（А，Γ）的Koethe根是具某性质的素理想的交；

The subring e Ω e is a prime kernel ring ( or primitive kernel ring) if and only if e Ω eK.

子环eΩe为质核环（本原核环），当且仅当eΩeK。