Depth and regularity modulo a principal ideal

Giulio Caviglia, Huy Tài Hà, Jürgen Herzog, Manoj Kummini, Naoki Terai, Ngo Viet Trung

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We study the relationship between depth and regularity of a homogeneous ideal I and those of (I, f) and I : f, where f is a linear form or a monomial. Our results have several interesting consequences on depth and regularity of edge ideals of hypergraphs and of powers of ideals.

Original languageEnglish
JournalJournal of Algebraic Combinatorics
Volume49
Issue number1
DOIs
Publication statusPublished - Feb 15 2019
Externally publishedYes

Keywords

  • Chordal graph
  • Depth
  • Edge ideal
  • Monomial ideal
  • Powers of an ideal
  • Regularity
  • Very well-covered graph

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics

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