Borel-plus-powers monomial ideals

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Let S = K [x1, ..., xn] be a standard graded polynomial ring over a field K. In this paper, we show that the lex-plus-powers ideal has the largest graded Betti numbers among all Borel-plus-powers monomial ideals with the same Hilbert function. In addition in the case of characteristic 0, by using this result, we prove the lex-plus-powers conjecture for graded ideals containing x1p, ..., xnp, where p is a prime number.

Original languageEnglish
Pages (from-to)1321-1336
Number of pages16
JournalJournal of Pure and Applied Algebra
Volume212
Issue number6
DOIs
Publication statusPublished - 2008 Jun 1
Externally publishedYes

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Monomial Ideals
Graded Betti numbers
Hilbert Function
Graded Ring
Polynomial ring
Prime number
Standards

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Borel-plus-powers monomial ideals. / Murai, Satoshi.

In: Journal of Pure and Applied Algebra, Vol. 212, No. 6, 01.06.2008, p. 1321-1336.

Research output: Contribution to journalArticle

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