摘要
通过引入超格的强闭集、上半补超格、数量上界单位元等概念,引出超格上的等价关系.构造数量上界单位集,在此基础上进一步研究超格的一些性质.商代数结构定理的建立对于完善超格的商结构具有实际意义.
In this paper the concepts of strongly closed set of hyperlattices and scalar-upper bound identity element are introduced. The equivalence relation of hyperlattices and the scalar-upper bound identity set is constructed, some properties of quotient hyperlattices and theorem of quotient structure are also studied. Theorem of quotient structure is more significant for the quotient algebra.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2008年第4期810-815,共6页
Pure and Applied Mathematics
基金
陕西省自然科学基金(2007A19)
陕西省教育厅专项科研基金(08JK472)
关键词
超格
上半补超格
数量上界单位元
商超格
同构
hyperlattices, upper semi-complement hyperlattice, scalar-upper bound identity element, quotient hyperlattices, isomorphism
