毕竟正则半群上的同余

Some congruences on eventually regular semigroups

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.