On the Lattice of Convex Sub-lattices of a Lattice

被引：0
|
作者：
Zhang, Yi-Hui [1 ]
Wu, Miao-Ling [1 ]
Zhang, Kun-Lun [2 ]
机构：
[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China
[2] Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China
来源：
Proceedings of the 2016 4th International Conference on Machinery, Materials and Information Technology Applications | 2016年 / 71卷
基金：
中国国家自然科学基金;
关键词：
Lattice; sub-lattice; convex sub-lattice; equational class;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In his classical work imply that [1], G. Gratzer had asked that for what equational classes K, L is an element of K and Csub(L)congruent to Csub(L-1) imply that L-1 is an element of K, (see Problem 1.10 in [1]). In the present note, a necessary and sufficient condition for such classes will be given.
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页码：879 / 882
页数：4
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