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
  • [41] Isomorphisms and generalized derivations of some algebras
    Li, Jiankui
    Pan, Zhidong
    Zhou, Jiren
    EXPOSITIONES MATHEMATICAE, 2010, 28 (04) : 365 - 373
  • [42] Jordan generalized derivations on triangular algebras
    Li, Yanbo
    Benkovic, Dominik
    LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (08): : 841 - 849
  • [43] A note on generalized derivations in Banach algebras
    Liu, Cheng-Kai
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 384 (02) : 192 - 197
  • [44] Generalized derivations on some convolution algebras
    M. H. Ahmadi Gandomani
    M. J. Mehdipour
    Aequationes mathematicae, 2018, 92 : 223 - 241
  • [45] Linear generalized derivations on Banach *-algebras
    Ali, Shakir
    Hummdi, Ali Yahya
    Ayedh, Mohammed
    Rafiquee, Naira Noor
    AIMS MATHEMATICS, 2024, 9 (10): : 27497 - 27511
  • [46] Generalized Derivations of Lie Color Algebras
    Chen, Liangyun
    Ma, Yao
    Ni, Lin
    RESULTS IN MATHEMATICS, 2013, 63 (3-4) : 923 - 936
  • [47] On θ-centralizing θ-generalized Derivations on Convolution Algebras
    Eisaei, M.
    Mehdipour, M. J.
    Moghimi, Gh. R.
    JOURNAL OF MATHEMATICAL EXTENSION, 2024, 18 (05)
  • [48] ON THE STABILITY OF GENERALIZED DERIVATIONS ON BANACH ALGEBRAS
    Ansari-Piri, E.
    Anjidani, E.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2012, 38 (01) : 253 - 263
  • [49] Generalized derivations on some convolution algebras
    Gandomani, M. H. Ahmadi
    Mehdipour, M. J.
    AEQUATIONES MATHEMATICAE, 2018, 92 (02) : 223 - 241
  • [50] A REMARK ON GENERALIZED DERIVATIONS IN RINGS AND ALGEBRAS
    Rehman, Nadeem Ur
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2018, 25 (03): : 181 - 191
12345