正规■~#-富足半群  

Normal ■~#-Abundant Semigroups

作　　者：程莉芳[1] 孔祥智[1] 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《西南师范大学学报（自然科学版）》2008年第5期11-14,共4页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：将通常的Green关系,*-Green关系推广为#-Green关系,并研究了■#-富足半群的半格分解.同时利用该半格分解证明了:■#-富足半群是正规■#-富足半群当且仅当它是完全■#-单半群的强半格.The usual Green relations, ＊ - Green relations are generalized to # - Green relations and the semilattice decomposition of H^#-abundant semigroups is given. By using this decomposition, the authors show that an H^#-abundant semigroup is a normal H^#-abundant semigroup if and only if it is strong semilattice of completely g^#- simple semigroups.

关 键 词：#-Green关系 态射 自然序 半格分解 

分 类 号：O152.7[理学—数学]