正则纯整半群的λ-半直积(英文)  

λ-semidirect products of regular orthodox semigroups

作　　者：吴劲鹏[1] 张荣华[1] 

机构地区：[1]云南大学数学系,云南昆明650091

出　　处：《云南大学学报（自然科学版）》2003年第6期469-473,共5页Journal of Yunnan University(Natural Sciences Edition)

基　　金：ResearchissuppertedbytheNaturalScienceFoundationofChina(10 0 710 68) .

摘　　要：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.

关 键 词：半直积 A-半直积 A-双半直积 幂等元分离同余 正则纯整半群 

分 类 号：O152.7[理学—数学]