南京师大学报（自然科学版）2023，Vol.46Issue(4)：1-4,4.DOI:10.3969/j.issn.1001-4616.2023.04.001
三角代数上Jordan同构的刻画
Characterizations of Jordan Isomorphisms of Triangular Algebras
摘要
Abstract
Let U=Tri(A,M,B)be a triangular algebra and let Vbe a unitial 2-torsion free algebra.It is shown that a linear bijection φ:U→V is Jordan isomorphism if and only if φ is unital and one of the following statements holds:(1)φ(x°y)=φ(x)°φ(y)for x,y ∈ U with xy=0;(2)φ(x°y)=φ(x)°φ(y)for x,y ∈ U with x°y=0;(3)φ(x°y)=φ(x)°φ(y)for x,y ∈U with xy=yx=0.关键词
三角代数/Jordan同构/零积Key words
triangular algebra/Jordan isomorphism/zero product分类
数理科学引用本文复制引用
刘丹,张建华,宋明亮..三角代数上Jordan同构的刻画[J].南京师大学报（自然科学版）,2023,46(4):1-4,4.基金项目
国家自然科学基金项目(11901248). （11901248）
