A note on monomial ideals which are Cohen–Macaulay in a fixed codimension

M. R. Pournaki, K. Shibata, N. Terai, S. Yassemi

Research output: Contribution to journalArticlepeer-review

Abstract

In this note, we introduce and investigate the notion of (Formula presented.) monomial ideals. We give an explicit relation of the (Formula presented.) property to a monomial ideal and its polarization. Further, we characterize the (Formula presented.) property of the ordinary as well as the symbolic third or more powers of squarefree monomial ideals.

Original languageEnglish
JournalCommunications in Algebra
DOIs
Publication statusAccepted/In press - 2022

Keywords

  • CM simplicial complex
  • Cohen–Macaulay ring
  • Cohen–Macaulay simplicial complex
  • generalized Cohen–Macaulay ring
  • generalized Cohen–Macaulay simplicial complex
  • simplicial complex

ASJC Scopus subject areas

  • Algebra and Number Theory

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