摘要
F-(X)={α∈TX:x∈X,xα≤x}是一个降序变换半群.设α∈F-(X)且α是幂等元.Tα-(X)={f∈TX:(x,y)∈ker(α)■(xf,yf)∈ker(α)且xfα≤xα},取定θ∈Tα-(X),在Tα-(X)上定义一种新的运算"°",对任意的f,g∈Tα-(X),f°g=fθg,fθg表示三个映射在一般意义上的复合.Tα-(X)在这种新的运算下构成的半群称为Tα-(X)上的变种半群,记为Tα-(X;θ).讨论了Tα-(X;θ)的green关系和正则性.
which is the production of mappings. We refer the semi - group after the new operation as a variant semi - group of Ta （X）, denoted by Ta（X; e）. In this paper we discuss the Green relations and regularity.
出处
《贵州师范学院学报》
2012年第9期4-7,共4页
Journal of Guizhou Education University
关键词
降序
保等价关系
变种半群
green关系
正则性
decreasing order
preserving equivalence relations
variant semi -group
Green
relations
regularity
