关于一类半群的消去律  

The cancellation law about I-semigroups

作　　者：马合成[1] 

机构地区：[1]山东师范大学理科学报编辑部,山东济南250014

出　　处：《山东科学》2005年第2期66-67,70,共3页Shandong Science

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.

关 键 词：I-半群 消去律 双理想 

分 类 号：O152.1[理学—数学]