Operad As^(LC)■Dend的Koszul性  

Koszulity of the operad As^(LC)■Dend

作　　者：樊馨蔓 高兴[2,3,4] 张兆泰 FAN Xinman;GAO Xing;ZHANG Zhaotai(School of Information Engineering and Artificial Intelligence,Lanzhou University of Finance and Economics,Lanzhou 730101,China;School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China;Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics,Lanzhou 730070,China;School of Mathematics and Statistics,Qinghai Nationalities University,Xining 810007,China;Cuiying Honors College,Lanzhou University,Lanzhou 730000,China)

机构地区：[1]兰州财经大学信息工程与人工智能学院,甘肃兰州730101 [2]兰州大学数学与统计学院,甘肃兰州730000 [3]甘肃省数学与统计学基础学科研究中心,甘肃兰州730070 [4]青海民族大学数学与统计学院,青海西宁810007 [5]兰州大学萃英学院,甘肃兰州730000

出　　处：《中山大学学报（自然科学版）（中英文）》2023年第6期135-142,共8页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：Natural Science Foundation of Gansu Province(22JR11RA138,20JR5RA249);National Natural Science Foundation of China(12071191);Funds for Innovative Fundamental Research Group Project of Gansu Province(23JRRA684)。

摘　　要：用重写系统的方法证明了operad As^(LC)■Dend是Koszul的,其中As^(LC)■Dend是结合operad As的线性相容operad和叶型operad Dend的Manin黑方积.The Koszulity of the operad As^(LC)■Dend in terms of the method of rewriting systems is proven,where As^(LC)■Dend is the Manin black product of the linear compatible operad of the associative As and the dendriform operad Dend.

关 键 词：OPERAD Koszul性 线性相容operad 叶型operad Manin黑方积 

分 类 号：O153.3[理学—数学]