Borel-plus-powers monomial ideals

Satoshi Murai*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


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
Issue number6
Publication statusPublished - 2008 Jun
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory


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