On hilbert functions of reduced and of integral algebras

Leslie G. Roberts, Moshe Roitman

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)85-104
Number of pages20
JournalJournal of Pure and Applied Algebra
Issue number1
StatePublished - 1 Jan 1989

Bibliographical note

Funding Information:
by an NSERC grant.

ASJC Scopus subject areas

  • Algebra and Number Theory


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