%0 Journal Article
%T 相容的Rota-Baxter约当代数<br>Compatiable Rota-Baxter Jordan Algebra
%A 宋芸文
%J Pure Mathematics
%P 282-292
%@ 2160-7605
%D 2025
%I Hans Publishing
%R 10.12677/pm.2025.151031
%X 本文探讨了Rota-Baxter约当代数的表示及二维约当代数上可容许的伴随线性映射的构造。首先&#65292;引入了Rota-Baxter约当代数的定义&#65292;然后研究了两个Rota-Baxter约当代数相容的条件。最后构造了二维Rota-Baxter约当代数上可容许的伴随线性映射。<br>This paper explores the representation of Jordan algebra and the construction of adjoint-admissiable linear map on two-dimensional Jordan algebra. First, the definition of Rota-Baxter Jordan algebra is introduced. Then, the equivalent condition of two compatible Rota-Baxter Jordan algebras is studied. Finally, adjoint-admissiable linear map on two-dimensional Jordan algebra is constructed.
%K 约当代数&#65292
%K Rota-Baxter算子&#65292
%K 相容的Rota-Baxter约当代数<br>Jordan Algebra
%K Rota-Baxter Operator
%K Compatiable Rota-Baxter Jordan Algebras
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=106678