摘要
针对吕家凤提出的问题:设A是周期为N0的周期δ-代数,M是周期为N0的周期δ-A模,对任意的正整数k,记ek(A)∶=⊕i≥0Ext N0ki A(A0,A0).问ek(A)-模⊕i≥0Ext N0ki+l A(M,A0)何时是Koszul模?其中l=1,2,…,N0-1.本文部分地解决了上述问题,给出了该问题的充分条件.
Jiafeng Lu introduced the notion of periodic δ-algebra and asked the following question: Let A be a periodic δ-algebra with period No and M a periodic 8-A module with period No, where No^2 is an integer. Put ek (A) : = i≥0 Ext A N 0 ki (A0 ,A0 ) for all k≥1. Then when are these ek (A)-modules i≥0 Ext A N 0 ki+l (M,A0) Koszul? where l=1, 2, ... ,N0-1. In this paper, part of the question is solved and a sufficient condition for the question is provided.
出处
《浙江大学学报(理学版)》
CAS
CSCD
2013年第5期492-493,498,共3页
Journal of Zhejiang University(Science Edition)
基金
浙江省教育厅基金资助项目(No.Y201225639)