摘要
将Green关系推广到Green^-关系。给出了密码■-富足半群的半格分解,利用此分解,证明了■-富足半群为正规密码■-富足半群当且仅当它是完全■-单半群的强半格.
Green's relations are generalized to Green's ^ ~ H-relations and the semilattice decompositionof crypto ^ ~ H-abundant semigroups is givenz By using this decomposition, we show that an ^ ~ H-abundant semigroup is a normal crypto ^ ~ H-abundant semigroup if and only if it is a strong semilattice of completely ^-Jsimple semigroups.
出处
《数学进展》
CSCD
北大核心
2007年第5期539-545,共7页
Advances in Mathematics(China)
关键词
Green^-关系
同态
自然偏序
半格分解
Green's ~-relation
homomorphism
natural partial order
semilattice decomposition