On Reverse Derivations in d-Algebras

被引:1
|
作者
Alnefaie, Kholood [1 ]
机构
[1] Taibah Univ, Coll Sci, Dept Math, Madinah, Saudi Arabia
来源
关键词
d-algebras; BCI-algebras; reverse derivations; DELTA-DERIVATIONS; (ALPHA;
D O I
10.29020/nybg.ejpam.v17i1.5025
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper, we apply the concept of reverse derivation in rings on the concept of d - algebra to obtain the concept called a left-right (resp. right-left) reverse derivations of d-algebra X (briefly, (l, r) resp. (r, l)- reverse derivation of d-algebra ), we will also, define some concepts such as regular map, composition two maps and study the related properties. Moreover, the notions of partial ordered edge d - algebra as well as d - subalgebra and their relation to our current study are obtained. In addition, some illustrative examples and counterexamples are discussed.
引用
收藏
页码:362 / 371
页数:10
相关论文
共 50 条
  • [1] On (α, β)-derivations in d-algebras
    Al-Omary, Radwan Mohammed
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2019, 12 (04): : 549 - 556
  • [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