完全正则半群上的3个偏序关系(英文)

Three Partial Orders on Completely Regular Semigroups

通过一些偏序关系刻画了左密码群并半群、局部正则密码群并半群、局部左正则密码群并半群.证明了完全正则半群S是左密码群并半群当且仅当M=≤;S是局部正则密码群并半群当且仅当B=≤;S是局部左正则密码群并半群当且仅当P=≤.

In this paper,left cryptogroups,local regular cryptogroups and local left regular cryptogroups are characterized by some partial orders.It is proved that a completely regular semigroup S is a left cryptogroup iff M=≤,S is a local regular cryptogroup iff B=≤,and S is a local left regular cryptogroup iff P=≤.