摘要
分别给出代数意义和偏序意义下幂格的定义,阐述了这两种定义的等价性.介绍了幂格在代数理论中的性质,并运用偏序集和幂集相结合的方法给予证明.
The definition of the power lattice in the algebraic and partial significance are presented,which the two definitions are equivalent is discussed, the property of the power lattice in algebraic theo-ry is also introduced,which is proved by the combination of partial ordered sets and power sets.
作者
薛英
吴妙玲
李明阳
XUE Ying WU Miaoling LI Mingyang(Department of Mathematics ,College of Sciences, Inner Mongolia University of Technology, Hohhot 010051)
出处
《内蒙古工业大学学报（自然科学版）》
2016年第2期85-88,共4页
Journal of Inner Mongolia University of Technology：Natural Science Edition
基金
内蒙古工业大学研究生教育教学研究项目(KC2014007)
关键词
半群
偏序集
幂格
同态
Semi-- group
Partial order set
Power lattice
Homomorphism
