某些完全正则半环的刻画  

The characterizations of some completely regular semiring

作　　者：贾丽[1] 乔占科[1] 

机构地区：[1]苏州科技学院数理学院,江苏苏州215009

出　　处：《纯粹数学与应用数学》2015年第1期93-96,共4页Pure and Applied Mathematics

摘　　要：研究了完全正则半环的特征.利用半群的方法,得到了当分配半环的乘法幂等元集分别是左零带、矩形带以及正规带时,该类半环成为完全正则半环的等价刻画,推广并改进了相关文献的主要结果.In this paper, we study the characteristics of completely regular semirings. Using the methods of semigroups, we obtain the equivalent characterizations of distributive semirings whose sets of multiplication idempotents are left zero bands, rectangular bands or normal bands, we also promote and improve the main results of revelant papers.

关 键 词：分配半环 完全正则半环 完全单半环 半环同余 

分 类 号：O153.3[理学—数学]