A combinatorial proof of Gotzmann's persistence theorem for monomial ideals

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Gotzmann proved the persistence for minimal growth of Hilbert functions of homogeneous ideals. His theorem is called Gotzmann's persistence theorem. In this paper, based on the combinatorics of binomial coefficients, a simple combinatorial proof of Gotzmann's persistence theorem in the special case of monomial ideals is given.

Original languageEnglish
Pages (from-to)322-333
Number of pages12
JournalEuropean Journal of Combinatorics
Volume29
Issue number1
DOIs
Publication statusPublished - 2008 Jan 1
Externally publishedYes

Fingerprint

Monomial Ideals
Persistence
Theorem
Hilbert Function
Binomial coefficient
Combinatorics

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

A combinatorial proof of Gotzmann's persistence theorem for monomial ideals. / Murai, Satoshi.

In: European Journal of Combinatorics, Vol. 29, No. 1, 01.01.2008, p. 322-333.

Research output: Contribution to journalArticle

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