正则纯整半群的λ-半直积(英文)

λ-semidirect products of regular orthodox semigroups

假定ρ是左正则纯整半群S上的幂等元分离同余,则证明了S可嵌入到一个左正则纯整群和S/ρ的λ-半直积中.进一步的,给出了正则纯整半群λ-双半直积的概念,并且得到此类半群的嵌入定理.

Let ρ be an idempotentseparating congruence on a left regular orthodox semigroup S.It's showed that S can be imbedded in a λsemidirect product of a left regular orthogroup by S/ρ.Furthermore,λdually semidirect products of regular orthodox semigroups are defined and the embedding theorem for such semigroups is obtained.