P－正则半群的双序集  

Biordered Sets of P-regular Semigroups

作　　者：喻秉钧[1] 

机构地区：[1]四川师范大学数学系

出　　处：《数学学报（中文版）》1996年第6期777-782,共6页Acta Mathematica Sinica：Chinese Series

摘　　要：本文刻划了双序集Ｅ为某Ｐ－正则半群的幂等元双序集的充要条件．所得定理不仅推广了Ｄ．Ｅａｓｄｏｗｎ关于带的双序集的结论，而且导出了正则＊－半群的幂等元双序集的一个刻划．进而还对Ｐ－正则半群的若干特殊情形及向非正则半群的推广进行了讨论．The necessary and sufficient condition for a biordered set to be that of the idempotents of a P-regular semigroup is characterized in this paper.The theorem obtained here not only is a generalization of the theorem, given by D.Easdown,for biordered sets of bands,but also gives a characterization of biordered sets of idempotents of regular *-semigroups.Further,some special cases and a generalization to non-regular ones of P-regular semigroups are discussed.

关 键 词：P-正则半群 半群 双序集 特征集 

分 类 号：O152.7[理学—数学]