两类完全正则半群的同态和同余  

HOMOMORPHISMS AND CONGRUENCES OF TWO KINDS OF COMPLETELY REGULAR SEMIGROUPS

作　　者：宁群[1] 张建刚[2] 刘国新[3] 

机构地区：[1]宿州学院数学系,安徽宿州234000 [2]上海师范大学数学系,上海200234 [3]西南师范大学数学系,重庆400715

出　　处：《数学杂志》2007年第5期557-562,共6页Journal of Mathematics

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.

关 键 词：密群 纯正群 群核正规系 

分 类 号：O152.7[理学—数学]