摘要
研究了加法半群为半格的乘法带半环,利用Green-D关系,得到了加法群为半格的乘法带半环的若干性质,证明了如果半环S的加法半群是半格,则S是乘法带半环当且仅当S是分配格,从而获得关于分配格的一个结构定理。
Multiplicative band semirings whose additive reducts are semilattice are studied.By Green-D relation,this paper obtaines some properties of multiplicative band semirings whose additive reducts are semilattice.It also proves if,then is multiplicative band semirings if and only if semiring is distributive lattice.So the theorem about structure of distributive lattice is obtained.
出处
《河南科技大学学报（自然科学版）》
CAS
2007年第3期86-87,共2页
Journal of Henan University of Science And Technology:Natural Science
基金
陕西省自然科学研究基金项目(2003A10)
陕西省教育厅自然科学专项基金项目(06JK302)
关键词
乘法带半环
加法半格
结构定理
Multiplicative band semirings
Additive semilattice
Structure theorem
