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
相关论文
共 50 条
  • [41] Jordan triple derivations on J-subspace lattice algebras
    Qi, Xiao Fei
    Hou, Jin Chuan
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (02) : 417 - 424
  • [42] Jordan Triple Derivations on J-subspace Lattice Algebras
    Xiao Fei QI
    Jin Chuan HOU
    Acta Mathematica Sinica,English Series, 2012, (02) : 417 - 424
  • [43] Lie Triple Derivations on J-Subspace Lattice Algebras
    Wang, Ting
    Lu, Fangyan
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [44] Jordan Triple Derivations on J-subspace Lattice Algebras
    Xiao Fei QI
    Jin Chuan HOU
    Acta Mathematica Sinica, 2012, 28 (02) : 417 - 424
  • [45] Characterization of Jordan derivations on J-subspace lattice algebras
    Qi, Xiaofei
    STUDIA MATHEMATICA, 2012, 210 (01) : 17 - 33
  • [46] Jordan triple derivations on J-subspace lattice algebras
    Xiao Fei Qi
    Jin Chuan Hou
    Acta Mathematica Sinica, English Series, 2012, 28 : 417 - 424
  • [47] Fuzzy parameterized fuzzy soft lattice implication algebras
    Luo, Fen
    Zhan, Jianming
    ARS COMBINATORIA, 2013, 112 : 353 - 360
  • [48] Subdirectly Irreducible and Directly Indecomposable Lattice Implication Algebras
    WANG Xue-fang
    2.Department of Applied Mathematics
    数学季刊, 2004, (04) : 385 - 392
  • [49] Some properties of fuzzy filters in lattice implication algebras
    Xu, Weitao
    Zou, Li
    Chang, Zhiyan
    Bai, Lijun
    Xu, Yang
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND KNOWLEDGE ENGINEERING (ISKE 2007), 2007,
  • [50] LIFTING QUASI-FILTERS OF LATTICE IMPLICATION ALGEBRAS
    Pan, Xiaodong
    Liu, Xiaohong
    UNCERTAINTY MODELING IN KNOWLEDGE ENGINEERING AND DECISION MAKING, 2012, 7 : 744 - 749
12345