节点文献
用Zorn引理证明代数问题
Using Zorn lemma to prove algebraic q uestion
【摘要】 在引入Zorn引理及其等价命题的基础上,分析了用Zorn引理证明代数问题的一般方法,并以此方法证明代数问题,如满足已知条件的集合的存在性和满足条件的任意一个元素都具有某种性质这类问题.
【Abstract】 This paper introduces the Zorn lemma and its equivalence propositions.a nd then,analyses the general method of using Zorn lemma to prove th e algebraic question.It also uses it to prove a few algebraic questions.s uch as the existence of set conforming to the known conditions and an arbitary element satisfing the conditions ow nning a certain property.
【关键词】 Zorn引理;
链;
上界;
极大元;
选择函数;
【Key words】 Zorn lemma; chain; upper bound; maximal element; selection fun ction;
【Key words】 Zorn lemma; chain; upper bound; maximal element; selection fun ction;
- 【文献出处】 沈阳工业大学学报 ,Journal of Shenyang University of Technology , 编辑部邮箱 ,2001年S1期
- 【分类号】O153
- 【下载频次】160