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| 两类完全正则半群的同态和同余 | |
| 引用本文： | 宁群,张建刚,刘国新.两类完全正则半群的同态和同余[J].数学杂志,2007,27(5):557-562. |
| 作者姓名： | 宁群 张建刚 刘国新 |
| 作者单位： | 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 |
| 基金项目： | 致谢 衷心感谢审稿人对本文提出的宝贵的修改意见和建议! |
| 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. |
| 关 键 词： | 密群 纯正群 群核正规系 |
| 文章编号： | 0255-7797（2007）05-0557-06 |
| 修稿时间： | 2005-01-042005-06-30 |
HOMOMORPHISMS AND CONGRUENCES OF TWO KINDS OF COMPLETELY REGULAR SEMIGROUPS |
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| NING Qun,ZHANG Jian-gang,LIU Guo-xin.HOMOMORPHISMS AND CONGRUENCES OF TWO KINDS OF COMPLETELY REGULAR SEMIGROUPS[J].Journal of Mathematics,2007,27(5):557-562. | |
| Authors: | NING Qun ZHANG Jian-gang LIU Guo-xin |
| Institution: | 1. Dept. of Math. ,Suzhou College ,Suzhou 234000,China;2. Dept. of Math. , Shanghai Normal University, Shanghai 200234,China;3. Dept. of Math. , Southwest Normal University, Chongqing 400715 ,China |
| Abstract: | 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. |
| Keywords: | cyrptogroup orthogroup group kernel normal system |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |