Higher Quasi-Koszul Modules

Jun Ru SI Hangzhou Dianzi University,Hangzhou 310018,P.R.China

Acta Mathematica Sinica, Chinese Series ›› 2009 ›› Issue (05) : 101-110.

Acta Mathematica Sinica, Chinese Series ›› 2009 ›› Issue (05) : 101-110. DOI: 10.12386/A2009sxxb0115
无栏目

Higher Quasi-Koszul Modules

  • Jun Ru SI Hangzhou Dianzi University,Hangzhou 310018,P.R.China
Author information +
History +

Abstract

We discuss the p-Koszul property for finitely generated modules over a noetherian semiperfect algebra and the so-called quasi-p-Koszul module is introduced. Let M be a quasi-p-Koszul module.By giving a second grading on the Koszul dual E(M),the structure of E(M) is discussed.We conclude that E(M) has the second grading concentrating in one degree.More precisely,we show that E~(ev)(M) is generated in degree 0 as a graded E~(ev)(A)-module.Under certain condition,the category of quasi-p-Koszul modules is extension-closed.

Key words

(higher) Koszul algebra / Koszul dual / (higher) quasi-Koszul algebra

Cite this article

Download Citations
Jun Ru SI Hangzhou Dianzi University,Hangzhou 310018,P.R.China. Higher Quasi-Koszul Modules. Acta Mathematica Sinica, Chinese Series, 2009(05): 101-110 https://doi.org/10.12386/A2009sxxb0115

131

Accesses

0

Citation

Detail

Sections
Recommended

/