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
  • [31] Generalized derivations of Lie algebras
    Leger, GF
    Luks, EM
    JOURNAL OF ALGEBRA, 2000, 228 (01) : 165 - 203
  • [32] On generalized derivations in Banach algebras
    Boudi, Nadia
    Ouchrif, Said
    STUDIA MATHEMATICA, 2009, 194 (01) : 81 - 89
  • [33] ON GENERALIZED JORDAN DERIVATIONS OF GENERALIZED MATRIX ALGEBRAS
    Ashraf, Mohammad
    Jabeen, Aisha
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 35 (03): : 733 - 744
  • [34] On skew derivations and generalized skew derivations in Banach algebras
    Khan, Abdul Nadim
    Ali, Shakir
    Alhazmi, Husain
    De Filippis, Vincenzo
    QUAESTIONES MATHEMATICAE, 2020, 43 (09) : 1259 - 1272
  • [35] Generalized derivations and generalized amenability of banach algebras
    Zohri, Ali
    Jabbari, Ali
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2013, 75 (04): : 137 - 144
  • [36] GENERALIZED DERIVATIONS AND GENERALIZED AMENABILITY OF BANACH ALGEBRAS
    Zohri, Ali
    Jabbari, Ali
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2013, 75 (04): : 137 - 144
  • [37] On algebras with a generalized implication
    Yon, Yong Ho
    Kim, Kyung Ho
    MATHEMATICA SLOVACA, 2013, 63 (05) : 947 - 958
  • [38] Generalized Derivations and Generalized Jordan Derivations on C*-Algebras through Zero Products
    Zivari-Kazempour, Abbas
    Bodaghi, Abasalt
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [39] Jordan generalized derivations on triangular algebras
    Li, Yanbo
    Benkovic, Dominik
    LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (08): : 841 - 849
  • [40] Isomorphisms and generalized derivations of some algebras
    Li, Jiankui
    Pan, Zhidong
    Zhou, Jiren
    EXPOSITIONES MATHEMATICAE, 2010, 28 (04) : 365 - 373