Schmitt-Vogel type lemma for reductions

Kyouko Kimura, Naoki Terai, Ken ichi Yoshida

Research output: Contribution to journalArticlepeer-review


The lemma given by Schmitt and Vogel is an important tool in the study of the arithmetical rank of squarefree monomial ideals. In this paper, we give a Schmitt-Vogel type lemma for reductions as an analogous result.

Original languageEnglish
Pages (from-to)535-545
Number of pages11
JournalArchiv der Mathematik
Issue number6
Publication statusPublished - Jun 2011
Externally publishedYes


  • Analytic spread
  • Arithmetical rank
  • Reduction

ASJC Scopus subject areas

  • Mathematics(all)


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