ON THE DEPTH OF SYMBOLIC POWERS OF EDGE IDEALS OF GRAPHS

DOI10.1017/nmj.2020.27zbMath1486.13019arXiv2004.05037OpenAlexW3015955972MaRDI QIDQ5073790

Seyed Amin Seyed Fakhari

Publication date: 3 May 2022

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.05037

zbMATH Keywords

depthsymbolic poweredge ideal

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Combinatorial aspects of commutative algebra (05E40)

Related Items (1)

Lower bounds for the depth of symbolic powers of edge ideals of graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Depth and regularity of powers of sums of ideals
• Stability of depths of symbolic powers of Stanley-Reisner ideals
• A lower bound for depths of powers of edge ideals
• On the ideal theory of graphs
• An upper bound for the regularity of symbolic powers of edge ideals of chordal graphs
• Initially regular sequences and depths of ideals
• The regularity of powers of edge ideals
• Regularity of symbolic powers of edge ideals of unicyclic graphs
• Depth functions of symbolic powers of homogeneous ideals
• The depth of powers of an ideal
• Depth and regularity modulo a principal ideal
• Monomial Ideals
• Depth of Powers of Squarefree Monomial Ideals (Research)
• Bounding the projective dimension of a squarefree monomial ideal via domination in clutters

This page was built for publication: ON THE DEPTH OF SYMBOLIC POWERS OF EDGE IDEALS OF GRAPHS