Hilbert functions of graded algebras over Artinian rings ∗

  title={Hilbert functions of graded algebras over Artinian rings ∗},
  author={Cristina Blancafort},
  • Cristina Blancafort
  • Published 1995
In this paper we give an effective characterization of Hilbert functions and polynomials of standard algebras over an Artinian equicharacteristic local ring; the cohomological properties of such algebras are also studied. We describe algorithms to check the admissibility of a given function or polynomial as a Hilbert function or polynomial, and to produce a standard algebra with a given Hilbert function. 

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