ON GENERALIZED f-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS

被引:0
|
作者
Kim, Kyung Ho [1 ]
机构
[1] Korea Natl Univ Transportat, Dept Math, Chungju 27469, South Korea
来源
KOREAN JOURNAL OF MATHEMATICS | 2019年 / 27卷 / 04期
关键词
Lattice implication algebra; generalized f-derivation; isotone; Fix(D)(L); KerD;
D O I
10.11568/kjm.2019.27.4.1119
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce the notion of generalized f-derivation of lattice implication algebra and investigate some related properties. Also, we prove that if D is a generalized f-derivation associated with an f-derivation d of L; then D(x -> y) = f(x) -> D(y) for all x; y epsilon L:
引用
收藏
页码:1119 / 1131
页数:13
相关论文
共 50 条
  • [1] On f-derivations of lattice implication algebras
    Yon, Yong Ho
    Kim, Kyung Ho
    ARS COMBINATORIA, 2013, 110 : 205 - 215
  • [2] ON f-DERIVATIONS OF KK-ALGEBRAS
    Asawasamrit, Suphawat
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2015, 36 (03): : 215 - 229
  • [3] A note on f-derivations of triangular algebras
    Benkovic, Dominik
    AEQUATIONES MATHEMATICAE, 2015, 89 (04) : 1207 - 1211
  • [4] ON f-DERIVATIONS OF B-ALGEBRAS
    Firat, Alev
    Ozbal, Sule Ayar
    ARS COMBINATORIA, 2011, 102 : 245 - 255
  • [5] ON f-DERIVATIONS OF BCC-ALGEBRAS
    Firat, Alev
    ARS COMBINATORIA, 2010, 97A : 377 - 382
  • [6] A note on f-derivations of triangular algebras
    Dominik Benkovič
    Aequationes mathematicae, 2015, 89 : 1207 - 1211
  • [7] A NOTE ON f-DERIVATIONS OF BCI-ALGEBRAS
    Javed, Malik Anjum
    Aslam, Muhammad
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 24 (03): : 321 - 331
  • [8] On derivations of lattice implication algebras
    Lee, Sang Deok
    Kim, Kyung Ho
    ARS COMBINATORIA, 2013, 108 : 279 - 288
  • [9] ON DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS
    Zhu, Hua
    Zhao, Jianbin
    Xu, Weitao
    Xu, Yang
    UNCERTAINTY MODELING IN KNOWLEDGE ENGINEERING AND DECISION MAKING, 2012, 7 : 775 - 780
  • [10] ON f-DERIVATIONS OF LATTICES
    Ceven, Yilmaz
    Oeztuerk, Mehmet Ali
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (04) : 701 - 707