关于半群的平移壳的两个结论

Two Conclusions About The Translation Hull Of Semigroup

重点对两类特殊的半群单半群和逆半群进行了研究.得到如下两个结论:若半群S和半群T是单的或是0-单的弱可约半群,且Ω(S) Ω(T),则S T;若S=(Y;Sα)是逆半群S2的半格,则存在从Ω(S)到Ω(Sα)(必要时添加零)的直积的单同态.

This paper gives a research for the translation hull of inverse semigroup and simple semigroup,we get two conclusions: Lets and T be 0-simple or simple weakly reductive semigroups and ΩSΩT,Then ST; If S=Y;S_α is the semilattice of inverse semigroup S_α,then there exists monomorphism from ΩS to ∏ΩS_αwith a zero possibly adjoined.