理论数学

Vol.5 No.2 (March 2015)

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

 

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。

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 (2015) 分配格的新定理。 理论数学, 5, 80-84. doi: 10.12677/PM.2015.52012

 

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