理论数学  >> Vol. 5 No. 2 (March 2015)

分配格的新定理
New Theorem for the Distributive Lattices

DOI: 10.12677/PM.2015.52012, PDF, HTML, XML, 下载: 1,804  浏览: 4,035  科研立项经费支持

作者: 徐幼学:湛江广播电视大学,广东 湛江

关键词: 分配格生成幻生成对偶幻Distributive Lattice Generated Ideal Generated Dual Ideal

摘要: 首先讨论了格的子集生成幻和生成对偶幻的运算性质。然后给出一个反例,指出中一定理有误,并由此获得分配格的两个等价条件。
Abstract: This paper discusses the operational properties of generated ideals and generated dual ideals. Then an example is given to point out that the conclusion of a proposition on P10 reference is wrong. Two equivalent conditions for the distributive lattices are given.

文章引用: 徐幼学. 分配格的新定理[J]. 理论数学, 2015, 5(2): 80-84. http://dx.doi.org/10.12677/PM.2015.52012