ON DERIVATIONS OF PARTIALLY ORDERED SETS

被引：8
|
作者：
Zhang, Huarong [1 ,2 ]
Li, Qingguo [1 ]
机构：
[1] Hunan Univ, Coll Math & Econometr, Changsha, Hunan, Peoples R China
[2] China Jiliang Univ, Hangzhou, Zhejiang, Peoples R China
来源：
MATHEMATICA SLOVACA | 2017年 / 67卷 / 01期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Derivation; fixed point; ideal; partially ordered set; LATTICES;
D O I：
10.1515/ms-2016-0243
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the notion of derivation on partially ordered sets is introduced and studied. Several characterization theorems on derivations are presented. The properties of the fixed points based on the derivations are investigated. Finally, the properties of ideals and operations related with derivations are studied. (C) 2017 Mathematical Institute Slovak Academy of Sciences
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页码：17 / 22
页数：6
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