权为1的多项式Rota-Baxter代数的模  

Modules on the polynomial Rota-Baxter algebra of weight 1

作　　者：吴钇娴 唐孝敏[1] WU Yi-xian;TANG Xiao-min(School of Mathematical Science,Heilongjiang University,Harbin 150080,China)

机构地区：[1]黑龙江大学数学科学学院,黑龙江哈尔滨150080

出　　处：《东北师大学报（自然科学版）》2021年第4期1-5,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11771069).

摘　　要：研究了权为1的非退化多项式Rota-Baxter代数,给出了多项式Rota-Baxter模的一些性质,以及它与一类结合代数J-模之间的联系.通过解矩阵方程,最后刻画了权为1的多项式Rota-Baxter代数的低维模.The non-degenerate polynomial Rota-Baxter algebra of weight 1 is studied.Some properties of polynomial Rota-Baxter modules and their relates to themodules on a class of associative algebras are given.Finally,by solving the matrix equation,the low-dimensional modules on the polynomial Rota-Baxter algebra of weight 1 are characterized.

关 键 词：Rota-Baxter代数 Rota-Baxter模 结合代数的模 

分 类 号：O152.5[理学—数学]