Idealizers and hereditary noetherian prime rings
Idealizers and hereditary noetherian prime rings
复制标题
理想化者和遗传性诺特素环
DOI：
10.1016/0021-8693(72)90104-4
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发表时间：
1972
影响因子：
0.9
通讯作者：
J.C Robson
中科院分区：
文献类型：
--
作者：
J.C Robson
设S为a。具有单位元的环，A 是 S 的右理想，并且 I (A)={s ES 1 sA _C A}。这个子环I(A)被称为S中A的理想化子或归一化子，并被区分为包含A作为理想的S的最大子环。由于存在环同构而被频繁使用
Let S be a. ring with an identity element, A a right ideal of S, and I (A)={s ES 1 sA _C A}. This subring I (A) is called the idealizer or normalizer of A in S and is distinguished as the largest subring of S containing A as an ideal. It has been used frequently because there is a ring isomorphism