On hilbert functions of reduced and of integral algebras

Leslie G. Roberts; Moshe Roitman

doi:10.1016/0022-4049(89)90123-0

On hilbert functions of reduced and of integral algebras

Leslie G. Roberts
, Moshe Roitman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that for any finite field k, there exist differentiable O-sequences which are not Hilbert functions of reduced graded k-algebras. We discuss when generic Hilbert functions and the Hilbert function of a complete intersection can be Hilbert functions of reduced or of integral graded algebras.

Original language	English
Pages (from-to)	85-104
Number of pages	20
Journal	Journal of Pure and Applied Algebra
Volume	56
Issue number	1
DOIs	https://doi.org/10.1016/0022-4049(89)90123-0
State	Published - 1 Jan 1989

Bibliographical note

Funding Information:
by an NSERC grant.

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/0022-4049(89)90123-0

Cite this

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title = "On hilbert functions of reduced and of integral algebras",

abstract = "We prove that for any finite field k, there exist differentiable O-sequences which are not Hilbert functions of reduced graded k-algebras. We discuss when generic Hilbert functions and the Hilbert function of a complete intersection can be Hilbert functions of reduced or of integral graded algebras.",

author = "Roberts, \{Leslie G.\} and Moshe Roitman",

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AB - We prove that for any finite field k, there exist differentiable O-sequences which are not Hilbert functions of reduced graded k-algebras. We discuss when generic Hilbert functions and the Hilbert function of a complete intersection can be Hilbert functions of reduced or of integral graded algebras.

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JO - Journal of Pure and Applied Algebra

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ER -

On hilbert functions of reduced and of integral algebras

Abstract

Bibliographical note

ASJC Scopus subject areas

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