Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (2): 394-400.

• Articles • Previous Articles     Next Articles

Piecewise-Koszul-Type Algebras

 LV Jia-Feng, CHEN Miao-Sen   

  1. Department of Mathematics, Zhejiang Normal University, Zhejiang Jinhua 321004
  • Received:2008-08-07 Revised:2009-10-28 Online:2011-04-25 Published:2011-04-25
  • Supported by:

    浙江省创新计划(T200905)资助

Abstract:

Piecewise-Koszul-type algebras, including some Artin-Schelter regular algebras of global dimension five, are introduced in this
paper. It is showed  that the `piecewise-Koszul-type property' of an algebra can be characterized by its minimal graded free resolution
and the associated generalized Castelnuovo-Mumford regularity. The structure of the Yoneda algebra $\bigoplus\limits_{i\geq0}{\rm Ext}_A^i({\Bbb K},{\Bbb K})$ of a piecewise-Koszul-type algebra is investigated. In particular, a necessary and sufficient condition for a graded algebra to be piecewise-Koszul-type is given in terms of the Yoneda algebra.

Key words: Piecewise-Koszul-type algebras, Yoneda algebras

CLC Number: 

  • 16E05
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