基本释义:

右零化子

网络释义

1)right annihilator,右零化子

2)right pisor of zero,右零因子

3)ascending chain condition for right annihilators,右零化子特殊升链条件

4)the descending chain condition for special right annihilators,特殊右零化子降链条件

5)left(right) zero pisor,左(右)零因子

6)annihilating right ideal,零化右理想

用法和例句

In this paper some properties of the rings satisfying a special ascending chain condition for right annihilators, and some relations to left, ringt perfect rings and QF righs are discussed; As an application of Goldie theorem, a condition is given for a prime ideal is a completely prime ideal in this class of rings.

本文讨论了满足右零化子特殊升链条件的环的性质以及与左、右完备环，ＱＦ－环的关系；给出了满足右零化子特殊升链条件的环中素理想是完全素理想的条件，从而给出了Ｇｏｌｄｉｅ定理的一个应用。

This parer proved that for the ring R with n left(right) zero pisors, if |R|=n 22 ,then n=2 s+1 (n∈N),|R|=2 2s+1 and the character of R could only be 2,4 or 8;and if R is the commutative ring whose character is 2, then R could only be the 8 element ring with 4 zero pisors.

证明了具有ｎ（＞２）个左（右）零因子的环Ｒ，当｜Ｒ｜＝ｎ２２时，必有ｎ＝２ｓ＋１（ｓ∈Ｎ），｜Ｒ｜＝２２ｓ＋１，且Ｒ的特征是２，４或８。