数学杂志2007,Vol.27Issue(5):499-502,4.
关于Petrich和Reilly的一个问题
ON A PROBLEM OF PETRICH AND REILLY
刘靖国 1孔祥智2
作者信息
- 1. 临沂师范学院,数学系,山东,临沂,276005
- 2. 江南大学理学院,江苏无锡,214122
- 折叠
摘要
Abstract
In this paper, we consider an open problem of M. Petrich and N. R. Reilly: Is the operator of lower global relation a complete homomorphism? By using congruences on a Clifford semigroup, we get that, in general, the operator is not a ∩-homomorphism. Therefore the problem is solved.关键词
完全正则半群/同余格/整体关系及下运算Key words
completely regular semigroup/ congruence lattice/ global relation/ the lower operator分类
数理科学引用本文复制引用
刘靖国,孔祥智..关于Petrich和Reilly的一个问题[J].数学杂志,2007,27(5):499-502,4.