Minimal resolution of relatively compressed level algebras
详细信息 查看全文
文摘
A relatively compressed algebra with given socle degrees is an Artinian quotient A of a given graded algebra Formula Not Shown, whose Hilbert function is maximal among such quotients with the given socle degrees. For us Formula Not Shown is usually a “general” complete intersection and we usually require that A be level. The precise value of the Hilbert function of a relatively compressed algebra is open, and we show that finding this value is equivalent to the Fröberg conjecture.