(s,t,d)-bi-Koszul algebras  

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

出　　处：《Science China Mathematics》2009年第11期2419-2431,共13页中国科学：数学（英文版）

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)

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.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.

关 键 词：bi-Koszul algebra periodic algebra pure resolution 16E05 16E40 16S37 16W50 

分 类 号：O177.91[理学—数学]