摘要
通过研究半格序完全正则周期半群,证明了半格序完全正则周期半群的乘法导出一定是正则纯正密码群。运用偏序关系,给出了半格序完全正则周期半群是半格序正则带和分配格的等价刻画。
It is proved that the multiplicative reducts of semilattice-ordered completely regular periodic semigroups are regular orthocryptogroups through the research of semilattice-ordered completely regular periodic semigroups. Semilattice-ordered completely regular periodic semigroups are equivalent characterizations of semilattice-ordered regular band and distributive lattices are obtained by using partial orders.
作者
邵勇
SHAO Yong(School of Mathematics,Northwest University,Xi＇an 710127,Shaanxi,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2018年第10期1-5,共5页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(11571278)
关键词
半格序完全正则周期半群
幂等元
分配格
偏序关系
semilattice-ordered completely regular periodic semigroup
idempotent element
distributive lattice
partial order
