A bi-endomorphism induces a new type of derivations on B-algebras

被引:0
|
作者
Bantaojai, Thanatporn [1 ]
Suanoom, Cholatis [2 ]
Phuto, Jirayu [3 ]
Iampan, Aiyared [4 ]
机构
[1] Valaya Alongkorn Rajabhat Univ, Fac Educ, Math English Program, Bangkok 13180, Pathumtani, Thailand
[2] Kamphaeng Phet Rajabhat Univ, Fac Sci & Technol, Sci & Appl Sci Ctr & Program Math, Kamphaeng Phet 62000, Thailand
[3] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand
[4] Univ Phayao, Fuzzy Algebras & Decis Making Problems Res Unit, Dept Math, Sch Sci, Phayao 56000, Thailand
关键词
-algebra; bi-endomorphism; derivation;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The goal of this paper is to introduce the concept of an (l, r) and an (r, l)-tau-derivation on a B-algebra which is induced by a left and a right bi-endomorphism and to provide important properties. The study found that the composition of (l, r) and an (r, l)-tau-derivations is also an (l, r) and an (r, l)-tau-derivation on a 0-commutative B-algebra, respectively. In addition, the relationship among those derivations is also considered.
引用
收藏
页码:336 / 348
页数:13
相关论文
共 30 条
  • [11] Nonlinear bi-skew Jordan-type derivations on ?-algebras
    Zhao, Fangfang
    Zhang, Dongfang
    Li, Changjing
    FILOMAT, 2023, 37 (13) : 4211 - 4219
  • [12] NONLINEAR BI-SKEW LIE-TYPE DERIVATIONS ON *-ALGEBRAS
    Zhang, Jingyi
    Li, Changjing
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023, 53 (02) : 647 - 659
  • [13] Nonlinear bi-skew Jordan-type higher derivations on ∗-algebras
    Liang, Xinfeng
    Guo, Haonan
    Zhao, Lingling
    FILOMAT, 2024, 38 (17) : 6087 - 6098
  • [14] On Hom-Jordan algebras and their αk - (a, b, c) type derivations
    Boua, Abdelkarim
    El-Soufi, Mahmoud M.
    Abdelwanis, Ahmed Y.
    BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2023, 64 (02): : 267 - 284
  • [15] Nonlinear mixed bi-skew Jordan-type derivations on prime *-algebras
    Yang, Yuan
    Zhang, Jianhua
    FILOMAT, 2024, 38 (22) : 7707 - 7718
  • [16] Nonlinear bi-skew Jordan-type derivations on factor von Neumann algebras
    Ashraf, Mohammad
    Akhter, Md Shamim
    Ansari, Mohammad Afajal
    FILOMAT, 2023, 37 (17) : 5591 - 5599
  • [17] Nonlinear bi-skew Lie-type derivations on factor von Neumann algebras
    Ashraf, Mohammad
    Akhter, Md Shamim
    Ansari, Mohammad Afajal
    COMMUNICATIONS IN ALGEBRA, 2022, 50 (11) : 4766 - 4780
  • [18] Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-◊-Algebras of the Matrix Type
    Eidinejad, Zahra
    Saadati, Reza
    Mesiar, Radko
    Raja, Pandora
    MATHEMATICS, 2023, 11 (06)
  • [19] New solutions of reflection equation derived from type B BMW algebras
    HaringOldenburg, R
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (18): : 5945 - 5948
  • [20] Cholesterol depletion induces PKA activity and transcytosis of the HDL scavenger receptor class B type I (SR-BI)
    Burgos, P
    de la Fuente, EA
    Rigotti, A
    González, A
    MOLECULAR BIOLOGY OF THE CELL, 2002, 13 : 89A - 89A