插值算子和Gröbner-Shirshov基  

Interpolation operator and Gröbner-shirshov bases

作　　者：樊馨蔓 FAN Xin-man(Key Laboratory of E-commerce Technology and Application of Gansu Province,School of Information Engineering and Artificial Intelligence,Lanzhou University of Finance and Economics,Lanzhou 730020,China)

机构地区：[1]兰州财经大学信息工程与人工智能学院,甘肃省电子商务技术与应用重点实验室,兰州730020

出　　处：《兰州大学学报（自然科学版）》2024年第1期138-142,共5页Journal of Lanzhou University(Natural Sciences)

基　　金：Supported by the Natural Science Foundation of Gansu Province(22JR11RA138)。

摘　　要：在一个范畴中,自由对象是非常重要的,其可以通过Gröbner-Shirshov基的方法去构造.证明在算子代数的框架下,插值算子等式是一个Gröbner-Shirshov基,作为应用,构造了自由的插值代数.Free objects are significant in a category,which can be constructed via the method of Gröbner-Shirshov bases.We proved that the interpolation operator identity is a Gröbner-Shirshov basis in the free operated algebra.As an application,the free interpolation algebra was constructed.

关 键 词：带算子代数 Gröbner-Shirshov基 插值算子 

分 类 号：O153.3[理学—数学]