摘要
本文研究了密群的同态和纯正群的幂等元分离同余.定义了密群的半格类之间的一种映射,利用该映射,半格的同态及完全单半群上的同态刻画了密群间的同态.利用群核正规系讨论了纯正群的幂等元分离同余.并给出其一种简单的表示形式.
In this paper, we give some study of the homomorphisms of crytogroups and the idempotent-separating congruences on orthogroups. We first define a kind of functions between the different semilattices of the cryptogroups, By the homomorphisms of the semilattice and completely simple semigroup, the functions have defined, we give a characterization of the homomorphisms of cryptogroups. Then we study the idempotent-separating congruences on the orthogroups with group kernel normal systems and give it a simple representation.
出处
《数学杂志》
CSCD
北大核心
2007年第5期557-562,共6页
Journal of Mathematics
关键词
密群
纯正群
群核正规系
cyrptogroup
orthogroup
group kernel normal system
