摘要
文中给出了幂集成为幂交半格的充要条件,阐述了偏序幂交半格与代数幂交半格的等价性,介绍了幂交半格的直积、幂交半格的商集是幂交半格.
The necessary and sufficient conditions for the power set to be a power-intersected semilattice are given.The equivalence of the partial order power-intersected semilattice and algebraic power-intersected semilattice is illustrated.The direct product of power-intersected semilattices is power-intersected semilattices and the quotient set of the power-intersected semilattices is power-intersected semilattices.
作者
王亚贤
吴妙玲
李爱梅
WANG Ya-xian;WU Miao-ling;LI Ai-mei(School of Science,Inner Mongolia University of Technology,Hohhot 010051,China)
出处
《内蒙古工业大学学报（自然科学版）》
2018年第6期401-405,共5页
Journal of Inner Mongolia University of Technology：Natural Science Edition
基金
内蒙古工业大学教改项目(2017238)
关键词
交半格
幂交半格
直积
Intersected semilattice
Power-intersected semilattice
Direct product
