On derivations of lattice implication algebras

被引：0
|
作者：
Lee, Sang Deok [1 ]
Kim, Kyung Ho [2 ]
机构：
[1] Dankook Univ, Dept Math, Cheonan 330714, South Korea
[2] Korea Natl Univ Transportat, Dept Math, Chungju 380702, South Korea
来源：
ARS COMBINATORIA | 2013年 / 108卷
关键词：
lattice implication algebra; derivation; simple derivation; isotone; Kerd; F-DERIVATIONS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduced the notion of derivation in lattice implication algebra, and considered the properties of derivations in lattice implication algebras. We give an equivalent condition to be derivation of a lattice implication algebra. Also, we characterized the fixed set Fix(d)(L) and Kerd by derivations. Moreover, we prove that if d is a derivation of a lattice implication algebra, every filter F is a d-invariant.
引用
收藏
页码：279 / 288
页数：10
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