拟δ-Koszul代数

Quasi-δ-Koszul algebras

为了研究分次代数的Ext代数的有限生成性,GREEN和MARCOS首次提出了δ-Koszul代数的概念.笔者利用极小分次投射解对δ-Koszul代数的等价刻画,把δ-Koszul代数推广到非分次情形,研究了诺特半完全代数的δ-Koszul性质,并证明了一些性质可以从分次情形遗传到非分次情形.

In order to study the finite generation property of the Ext algebras of graded algebras,Green and Marcos first introduced the notions of δ-Koszul algebras.In this paper,with the help of the equivalent descriptions of δ-Koszul algebras in terms of the minimal graded projective resolution,the δ-Koszul algebras is generalized to the non-graded case and the Noetherian semiperfect algebras of δ-Koszul is studied.It is proved that some properties can be generalized from graded case to non-graded case.