Hilbert functions of graded algebras over Artinian rings

Details Hilbert functions of graded algebras over Artinian rings Hilbert functions of graded algebras over Artinian rings

1995-04-03

arxiv.org/abs/math/9504203v1

Mathematics

Commutative Algebra

Scientific paper

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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