文章基本信息
- 标题：When in a multiplicative derivation additive?
- 本地全文：下载
- 作者：Mohamad Nagy Daif
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：1991
- 卷号：14
- 期号：3
- 页码：615-618
- DOI：10.1155/S0161171291000844
- 出版社：Hindawi Publishing Corporation
- 摘要：
Our main objective in this note is to prove the following. Suppose R is a ring having an idempotent element e ( e ≠ 0 , e ≠ 1 ) which satisfies: ( M 1 ) x R = 0 implies x = 0. ( M 2 ) e R x = 0 implies x = 0 ( and hence R x = 0 implies x = 0 ) . ( M 3 ) e x e R ( 1 − e ) = 0 implies e x e = 0. If d is any multiplicative derivation of R , then d is additive.
