幂格的代数性质  

The Algebraic Property of Power Lattice

作　　者：薛英[1] 吴妙玲[1] 李明阳[1] XUE Ying WU Miaoling LI Mingyang(Department of Mathematics ,College of Sciences, Inner Mongolia University of Technology, Hohhot 010051)

机构地区：[1]内蒙古工业大学理学院数学系,呼和浩特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)

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.

关 键 词：半群 偏序集 幂格 同态 

分 类 号：O153[理学—数学]