The lower and upper bounds of the degree distribution of a graded algebra

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.