Buchsbaum Stanley-Reisner rings with minimal multiplicity

Naoki Terai, Ken Ichi Yoshida

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

In this paper, we study Buchsbaum Stanley-Reisner rings with linear free resolution. We introduce the notion of Buchsbaum Stanley-Reisner rings with minimal multiplicity of initial degree q, which extends the notion of Buchsbaum rings with minimal multiplicity defined by Goto. As an application, we give many examples of non-Cohen-Macaulay Buchsbaum StanleyReisner rings with linear resolution.

Original languageEnglish
Pages (from-to)55-65
Number of pages11
JournalProceedings of the American Mathematical Society
Volume134
Issue number1
DOIs
Publication statusPublished - Jan 2006
Externally publishedYes

Keywords

  • Alexander duality
  • Buchsbaum ring
  • Linear resolution
  • Minimal multiplicity
  • Regularity
  • Stanley-Reisner ring

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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