摘要
如果一个半群的每个真双理想都是群,而它本身不是群,则称这个半群为I 半群.本文证明了任意一个I 半群不满足消去律,而且满足消去律的半群的所有真双理想不可能同时都是群.
A semigroup is called an I-semigroup if it is not in itself a group but its every real-bi-ideal is group.This (paper) showed that an arbitrary I-semigroup is not satisfied with cancellation law and all real-bi-ideal of semigroup satisfied with cancellation law can not be I-semigroups at the same time.
出处
《山东科学》
CAS
2005年第2期66-67,70,共3页
Shandong Science
关键词
I-半群
消去律
双理想
I-semigroup
cancellation law
dual-ideal
