摘要
幂等元半环簇和幂等元分配半环簇依次记为I,ID.满足附加恒等式xyx+x+xyx=xyx的幂等元半环簇的子簇记为P.本文主要刻划了P中成员的一些性质,并对P∩ID中的部分成员进行了次直积分解.
The variety of all idempotent (resp.,distributive) semirings is denoted by I (resp.,ID).The subvariety of I which satisfies the additional identity xyx+x+xyx=xyx is denoted by P. In this paper we give certain characterizations of some properties of the semirings in P and give the subdirect product decomposition of some semirings which are members of P∩ID.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2005年第1期68-72,共5页
Pure and Applied Mathematics
基金
陕西省教育厅自然科学专项基金项目(02JK053)
陕西省自然科学研究项目(2003A10)资助.
关键词
半环
单演双半格
格林关系
偏序关系
semirings, monobisemilattices, Green's relations, partial ordered relations
