On f-derivations of lattice implication algebras

被引：0

作者：

Yon, Yong Ho ^{[1
]}

Kim, Kyung Ho ^{[2
]}

机构：

[1] Mokwon Univ, Innovat Ctr Engn Educ, Taejon 302729, South Korea

[2] Korea Natl Univ Transportat, Dept Math, Chungju 380702, South Korea

来源：

ARS COMBINATORIA | 2013年 / 110卷

关键词：

lattice implication algebra; f-derivation; normal filter; Fix(d)(L); Kerd;

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 f-derivations, and considered the properties of f-derivations of lattice implication algebras. We give an equivalent condition to be isotone f-derivation in a lattice implication algebra. Also, we characterized the fixed set Fix(d)(L) and Kerd by f-derivations. Moreover, we introduced the normal filter and obtained some properties of normal filters in lattice implication algebras.

引用

页码：205 / 215

页数：11