摘要
证明了H#-富足半群S是正规密码H#-富足半群当且仅当它是完全J#-单半群的强半格.该结果也是正规密码超富足半群和正规密码群并半群分别在超富足半群和完全正则半群上的相应结构定理的推广.
In this paper, a new construction theorem of normal crypto H#-abundant semigroups is given, i.e., an H#-abundant semigroup is a normal crypto H#-abundant semigroup if and only if it is a strong semilattice of completely J#-simple semigroups. Actually, the main result in this paper is a generalization of the corresponding ones of normal crypto semigroups and normal cryptogroups in superabundant and completely regular semigroups respectively.
出处
《纯粹数学与应用数学》
CSCD
2009年第4期794-800,共7页
Pure and Applied Mathematics
基金
广东省自然科学基金(8151601501000002
9151051501000066)
广东惠州学院校立基金(C208.0403
A08002)
关键词
#-格林关系
正规密码H#-富足半群
完全J#-单半群
强半格
Green＇s #-relations, normal crypto H#-abundant semigroups, completely J#-simple semigroups,strong semilattice
