摘要
设X和Y是有限非空集合,PO(X,Y)表示从X到Y的所有部分保序映射构成的集合.取定θ∈PO(Y,X),在PO(X,Y)上定义运算,如:αβ=αθβ,则(PO(X,Y),)是一个半群,称为有限部分保序夹心半群,记为PO(X,Y,θ).半群PO(X,Y,θ)的格林关系及其正则元被刻划了.
Let X and Y be nonempty finite set.Let PO (X,Y) be all partial order-preserving mapping from X into Y and let θ∈PO(Y,X).The operation .is defined by α .β =αθβ,for all α,β∈PO(X,Y).Then (PO(X,Y),.) is a semigroup and call order-preserving sandwich semigroups of all finite partial mapping from X into Y and so denote PO(X,Y,θ).The Green's relations and regularity for the semigroup PO(X,Y,θ) are characterized.
出处
《云南民族大学学报(自然科学版)》
CAS
2014年第6期434-438,共5页
Journal of Yunnan Minzu University:Natural Sciences Edition
基金
贵州省科学技术基金(黔LKS(2011)15
LKS(2012)2273)
关键词
保序
夹心半群
部分映射
格林关系
正则元
order-preserving
sandwich semigroups
partial mapping
Green's relations
regular element