摘要
给出了单幂幺半群的半格的4条等价刻画.即对于半群S,以下4条刻画等价:ⅰ)S是单幂幺半群的半格;ⅱ)S是单幂幺半群的强半格;ⅲ)S是■-富足的,■为S上的同余,且S是幂等元中心的;ⅳ)S是■-富足的,■为S上的同余,且在S上,■=■.推广了Clifford半群的结构定理.
Four equivalent descriptions have been given for semigroups which are semilattices of unipotent semigroups.Namely,the following conditions on a semigroup S are equivalent: ⅰ) S is a semilattice of unipotent semigroups;ⅱ) S is a strong semilattices of unipotent semigroups;ⅲ) S is central for idempotents and an ■-abundant semigroup on which ■ is a congruence;ⅳ) S is central for idempotents and an ■-abundant semigroup satisfying ■=■.Thus the structure theorem for Clifford semigroups is generalized.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2012年第10期35-37,共3页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11101336)