Nonlinear mixed ∗-Jordan type derivations on alternative ∗-algebras

被引：2
|
作者：
Pierin, Tanise Carnieri [1 ]
Ferreira, Ruth Nascimento [2 ]
Borges, Fernando [3 ]
Ferreira, Bruno Leonardo Macedo [2 ]
机构：
[1] Univ Fed Parana, Ctr Politecn, Ave Cel Francisco H dos Santos,100 Jd das Amer, BR-81530000 Curitiba, Brazil
[2] Fed Univ Technol Parana Brazil, Ave Prof Laura Pacheco Bastos 800, BR-85053510 Guarapuava, Brazil
[3] Univ Fed Parana, Rua Rio Grande do Norte,145 Mirassol, BR-83255000 Pontal Do Parana, Brazil
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2025年 / 24卷 / 02期
关键词：
Mixed & lowast; -Jordan type derivation; & lowast; -derivation; alternative & lowast; -algebras; MAPS;
D O I：
10.1142/S0219498825500288
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let A be a unital alternative & lowast;-algebra with a distinguished idempotent element. In this paper, it is shown that a map is a nonlinear mixed & lowast;-Jordan type derivation on A if and only if it is an additive & lowast;-derivation. As an application, one gets a result on alternative W & lowast;-algebras.
引用
收藏
页数：19
相关论文
共 50 条
  • [11] Nonlinear bi-skew Jordan-type higher derivations on ∗-algebras
    Liang, Xinfeng
    Guo, Haonan
    Zhao, Lingling
    FILOMAT, 2024, 38 (17) : 6087 - 6098
  • [12] Nonlinear Jordan derivations of incidence algebras
    Yang, Yuping
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (08) : 3200 - 3213
  • [13] Nonlinear Mixed Jordan triple *-Derivations on Factor von Neumann Algebras
    Li, Changjing
    Zhang, Dongfang
    FILOMAT, 2022, 36 (08) : 2637 - 2644
  • [14] Nonlinear bi-skew Jordan-type derivations on ?-algebras
    Zhao, Fangfang
    Zhang, Dongfang
    Li, Changjing
    FILOMAT, 2023, 37 (13) : 4211 - 4219
  • [15] Nonlinear Jordan derivations of finitary incidence algebras
    Yan, Shenghua
    Yang, Yuping
    COMMUNICATIONS IN ALGEBRA, 2023, 51 (03) : 1264 - 1279
  • [16] A note on nonlinear skew Jordan-type derivations on ∗-rings
    Madni, Md Arshad
    Mozumder, Muzibur Rahman
    FILOMAT, 2024, 38 (19) : 6651 - 6662
  • [17] NONLINEAR *-JORDAN TRIPLE DERIVATIONS ON VON NEUMANN ALGEBRAS
    Zhao, Fangfang
    Li, Chanjing
    MATHEMATICA SLOVACA, 2018, 68 (01) : 163 - 170
  • [18] Jordan derivations of unital algebras with idempotents
    Benkovic, Dominik
    Sirovnik, Nejc
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (09) : 2271 - 2284
  • [19] Jordan-type derivations on trivial extension algebras
    Ashraf, Mohammad
    Akhter, Md Shamim
    Ansari, Mohammad Afajal
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (08)
  • [20] Jordan derivations of triangular algebras
    Zhang, Jian-Hua
    Yu, Wei-Yan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 419 (01) : 251 - 255
12345