On (α, β)-derivations in d-algebras

被引:0
|
作者
Al-Omary, Radwan Mohammed [1 ]
机构
[1] Ibb Univ, Dept Math, Ibb, Yemen
来源
关键词
d-Algebras; BCI; -algebras; (alpha; beta)-derivations;
D O I
10.1007/s40574-018-00190-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let (X, *, 0) be a d-algebra and alpha, beta are endomorphisms on X. Motivated by some results on derivations, (alpha, beta)-derivation in rings, and the generalizations of BCK and BCI-algebras, in this paper, we introduce the notion of (alpha, beta)-derivations on d-algebras, construct several examples and investigate some simple and important results.
引用
收藏
页码:549 / 556
页数:8
相关论文
共 50 条
  • [2] On Reverse Derivations in d-Algebras
    Alnefaie, Kholood
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (01): : 362 - 371
  • [3] New derivations of d-algebras based on endomorphisms
    Muangkarn, Patchara
    Suanoom, Cholatis
    Iampan, Aiyared
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2022, 17 (03): : 1025 - 1032
  • [4] A note on fuzzy derivations of some ideals on d-algebras
    Yilmaz, Damla
    THEORETICAL COMPUTER SCIENCE, 2023, 960
  • [5] Fuzzy derivations of d-ideals of d-algebras and Cartesian product of Fuzzy derivation of d-ideals of d-algebras
    Oli, Abdi
    Tefera, Gerima
    APPLIED ARTIFICIAL INTELLIGENCE, 2023, 37 (01)
  • [6] D-algebras
    Gudder, S
    FOUNDATIONS OF PHYSICS, 1996, 26 (06) : 813 - 822
  • [7] SMARANDACHE d-ALGEBRAS
    Kim, Young Hee
    Kim, Young Hie
    Ahn, Sun Shin
    HONAM MATHEMATICAL JOURNAL, 2018, 40 (03): : 539 - 548
  • [8] D-ALGEBRAS WITH LOGARITHMS
    PRZEWORSKAROLEWICZ, D
    MATHEMATISCHE NACHRICHTEN, 1993, 161 : 321 - 344
  • [9] Companion d-algebras
    Allen, P. J.
    Kim, Hee Sik
    Neggers, J.
    MATHEMATICA SLOVACA, 2007, 57 (02) : 93 - 106
  • [10] Pseudo d-algebras
    Jun, Young Bae
    Kim, Hee Sik
    Neggers, J.
    INFORMATION SCIENCES, 2009, 179 (11) : 1751 - 1759