摘要
把Reilly对逆半群的幂等元集合的正规划分的概念推广到纯正半群,用它从另一角度刻画。了纯正半群上强同余的结构.并刻画了具有T关系的两个强同余的联和交的正则核正规系,又讨论了纯正半群上的Clifford同余,给出了最小Clifford同余的刻画.
The concept of normal partition on E（S）, due to N.R, Reilly, are generalized to the case of orthodox semigroups, by using it a new stucture theorem for strong congruences on an orthodox semigroup S is given from another point of view, and the regular kernel normal system of the join and the meet of two strong congrunce which are belong to the same T-class are discussed, In the final section, so-called Clifford congrunces p on S are discussed, the existence and the structure of the minimum Clifford congrunce on S are provided.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第10期210-216,共7页
Mathematics in Practice and Theory
基金
四川省教育厅青年基金(09ZD102)
