摘要
引入强零因子概念.证明无强零因子环可嵌入这个环的加群自同态环中.有单位元环是无强零因子的,但无强零因子环未必有单位元.由此,本文对已知的结果作了有实质性的推广.
Introduces the concept of strong zero divisor Proves that a ring withoutstong zero divisor can inserted into its endomorphism ring of additive group.And the ringwith identical element is a ring without strong zero divisor,but the later may not be theformer.Therefore the paper essencially extends the previous result.
关键词
环
自同态
单位元
强零因子
环加群
Rings
Endomorphism
ldentical elements/Strong zero divisor:Additive group of a ring