摘要
For a graded algebra,the minimal projective resolution often reveals amounts of information.All generated degrees of modules in the minimal resolution of the trivial module form a sequence,which can be called the degree distribution of the algebra.We try to find lower and upper bounds of the degree distribution,introduce the notion of(s,t)-(homogeneous) determined algebras and construct such algebras with the aid of algebras with pure resolutions.In some cases,the Ext-algebra of an(s,t)-(homogeneous) determined algebra is finitely generated.
For a graded algebra, the minimal projective resolution often reveals amounts of information. All generated degrees of modules in the minimal resolution of the trivial module form a sequence, which can be called the degree distribution of the algebra. We try to find lower and upper bounds of the degree distribution, introduce the notion of （s,t）-（homogeneous） determined algebras and construct such algebras with the aid of algebras with pure resolutions. In some cases, the Ext-algebra of an （s, t）-（homogeneous） determined algebra is finitely generated.
基金
supported by National Natural Science Foundation of China(Grant Nos.11026106 and 10971188)
National Natural Science Foundation of Zhejiang Province of China(Grant No.LQ12A01028)
