摘要
给出了纯正半群S的强同余格上同余T的一些判别性质,证明了S上所有基础强同余所构成的集合FCP(S)是CP(S)的完备子格,最后讨论了由纯正半群的正规子半群决定的交完备子格的结构及由"求核"运算确定的(交完备格)同余K的若干性质,还顺带讨论了群同余格.
Some discriminant properties congruence Ton CP(S) are given,it is proved the FCP(S) of all the basic strong congrunce on Sforms complete sublattice of the congruence lattice C(S) of S,and the structure of the ∩-complete sublattice determined by a given congruece kernel on S is discussed and some properties of the(∩-complete lattice) congrunce K determined by finding kernel on S is described.Finally the group congrunces are also considered by the way.
出处
《纯粹数学与应用数学》
CSCD
2009年第1期145-151,共7页
Pure and Applied Mathematics
基金
四川省教育厅青年基金项目(08ZB002).
关键词
强同余
基础强同余
幂等元纯同余
完备格
群同余格
strong congruence,basic strong congrunce,idempotent pure congruence,complete sublattice,group congrunces lattice