OT(X,Y;θ)的一类特殊子半群Me及其极大(小)元

A Sub-semigroup Meof OT(X,Y;θ)and Its Maximal(Minimal)Elements

由于保序夹心半群OT(X,Y;θ)的幂等元集E(OT(X,Y;θ))不构成子半群,对E(OT(X,Y;θ))加某些限制条件后,得到幂等元集E(OT(X,Y;θ))的真子集Me,证明了Me是半群OT(X,Y;θ)的子半群,讨论了Me在自然偏序下的一些结论,此外,还描述了子半群Me的极大(极小)元与覆盖元。

In this paper, we discuss a subset of the finite preserving order sandwich semigroup＇s idempotent set. Because the idemp otent E（OT（X,Y;θ））of the semigroup OT（X,Y;θ） does not constitute a subsemigroup, with some limitations, the subset M, of idempotent set is a sub-semigroup, under natural order of finite order preserving sandwich semigroup OT（X,Y;θ） of sub-semigroup Ms. At the same time, the maximal （minimal） elements and the covering elements of the sub semigroup Me are described.