(s,t,d)-bi-Koszul algebras

作     者：SI JunRu Department of Mathematics,Hangzhou Dianzi University,Hangzhou 310018,China 

作者机构：1. Department of Mathematics Hangzhou Dianzi University Hangzhou 310018 China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2009年第52卷第4期

页      面：2419-2431页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China (Grant No. 10571152) the Natural Science Foundation of Zhejiang Province of China (Grant No. J20080154) 

主　　题：bi-Koszul algebra periodic algebra pure resolution 16E05 16E40 16S37 16W50 

摘      要：The paper focuses on the 1-generated positively graded algebras with non-pure resolutions and mainly discusses a new kind of algebras called(s,t,d)-bi-Koszul algebras as the generalization of bi-Koszul algebras. An(s,t,d)-bi-Koszul algebra can be obtained from two periodic algebras with pure resolutions. The generation of the Koszul dual of an(s,t,d)-bi-Koszul algebra is discussed. Based on it,the notion of strongly(s,t,d)-bi-Koszul algebras is raised and their homological properties are further discussed.