毕竟正则半群上的同余  

Some congruences on eventually regular semigroups

作　　者：罗彦锋[1] 杨东[1] 

机构地区：[1]兰州大学数学系,甘肃兰州730000

出　　处：《兰州大学学报（自然科学版）》2003年第3期1-3,共3页Journal of Lanzhou University(Natural Sciences)

基　　金：甘肃省自然科学基金资助项目 ( ZS0 0 1 -A2 5 -0 0 6-Z)

摘　　要：讨论了毕竟正则半群 S的同余格上包含一些特殊同余的同余类 K -类 ( T-类 ) .ρK 是群同余 ( Clifford同余 ,半格同余 )的 K-类ρK,是由 S上的矩形群的幂零扩张同余 (矩形群的幂零扩张的半格同余 ,矩形带的幂零扩张的半格同余 )组成 .ρT是半格同余 (带同余 )的 T-类ρT,是由 S上的群的幂零扩张的半格同余 ( * -cryptic的群的幂零扩张的并同余 )组成 .On any eventually regular semigroup S,the K-classes (T-classes) of some special congruences on the congruence lattice of S are studied.The K-classes with ρK being group congruence (Clifford congrence,semilattice congruence) consists of nil-extension of rectangular group congruences (semilattice of nil-extension of rectangular group congruences,semilattice of nil-extension of rectangular band congruences) on S.The T-classes with ρT being semilattice congruence (*-band congruence) consists of semilattice of nil-extension of groups congruences (*-cryptic union of nil-extension of groups congruences) on S.

关 键 词：同余 幂零扩张 毕竟正则半群 

分 类 号：O152.7[理学—数学]