*-Lie-type maps on alternative *-algebras

被引:3
|
作者
De Oliveira Andrade, Aline Jaqueline [1 ]
Barreiro, Elisabete [2 ]
Macedo Ferreira, Bruno Leonardo [3 ]
机构
[1] Fed Univ ABC, dos Estados Ave 5001, BR-09210580 Santo Andre, SP, Brazil
[2] Univ Coimbra, Dept Math, CMUC, Apartado 3008 EC Santa Cruz, P-3001501 Coimbra, Portugal
[3] Fed Univ Technol, Ave Prof Laura Pacheco Bastos 800, BR-85053510 Guarapuava, Brazil
关键词
Alternative (*)-algebra; alternative W*-algebras; RINGS;
D O I
10.1142/S021949882350130X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let U and U' be two alternative (*)-algebras with identities 1(U) and 1(U'), respectively, and e(1) and e(2) = 1(U) - e(1) nontrivial symmetric idempotents in U. In this paper, we study the characterization of multiplicative (*)-Lie-type maps. As application, we get a result on alternative W*-algebras.
引用
收藏
页数:14
相关论文
共 50 条
  • [31] GENERATION OF EXCEPTIONAL GROUPS OF LIE-TYPE
    WEIGEL, TS
    GEOMETRIAE DEDICATA, 1992, 41 (01) : 63 - 87
  • [32] Multiplicative Lie-Type Derivations on Rings
    Ashraf, Mohammad
    Akhtar, Mohd Shuaib
    Wani, Bilal Ahmad
    Kumar, Mohit
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (04) : 1217 - 1227
  • [33] *-Lie-Jordan-Type Maps on C*-Algebras
    Ferreira, Bruno Leonardo Macedo
    Costa, Bruno Tadeu
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (04) : 1679 - 1690
  • [34] Steinberg-type presentation for Lie-type groups
    Timmesfeld, F. G.
    JOURNAL OF ALGEBRA, 2006, 300 (02) : 806 - 819
  • [35] Nonlinear Skew Lie-Type Derivations on *-Algebra
    Madni, Md Arshad
    Alali, Amal S.
    Mozumder, Muzibur Rahman
    Rozas, Juan Ramon Garcia
    Alcala, Luis Oyonarte
    Bennis, Driss
    MATHEMATICS, 2023, 11 (18)
  • [36] On the Steinberg-presentation for Lie-type groups
    Timmesfeld, FG
    FORUM MATHEMATICUM, 2003, 15 (05) : 645 - 663
  • [37] n-Ary Generalized Lie-Type Color Algebras Admitting a Quasi-multiplicative Basis
    Elisabete Barreiro
    Antonio Jesús Calderón
    Ivan Kaygorodov
    José María Sánchez
    Algebras and Representation Theory, 2019, 22 : 1371 - 1386
  • [38] Characterizations of Lie-type derivation on primitive rings with idempotents
    Ashraf, Mohammad
    Jabeen, Aisha
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2024, 17 (09)
  • [39] n-Ary Generalized Lie-Type Color Algebras Admitting a Quasi-multiplicative Basis
    Barreiro, Elisabete
    Jesus Calderon, Antonio
    Kaygorodov, Ivan
    Maria Sanchez, Jose
    ALGEBRAS AND REPRESENTATION THEORY, 2019, 22 (06) : 1371 - 1386
  • [40] The Structure of the Normalizers of Maximal Toruses in Lie-Type Groups
    A. A. Galt
    Siberian Advances in Mathematics, 2024, 34 (3) : 209 - 230