Castelnuovo-Mumford regularity and projective dimension of a squarefree monomial ideal

DOI10.1007/s11464-017-0680-xzbMath1394.13026OpenAlexW2776337928MaRDI QIDQ722437

Zhongming Tang, Lizhong Chu, Shisen Liu

Publication date: 23 July 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-017-0680-x

zbMATH Keywords

projective dimensionCastelnuovo-Mumford regularitysquarefree monomial ideal

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (1)

Projective dimension and Castelnuovo–Mumford regularity of t-spread ideals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A criterion for detecting m-regularity
• Alexander duality theorem and second Betti numbers of Stanley-Reisner rings
• Linear free resolutions and minimal multiplicity
• Open problems on syzygies and Hilbert functions
• On the arithmetical rank of monomial ideals
• On the Castelnuovo-Mumford regularity and the arithmetic degree of monomial ideals
• Bounds on degrees of projective schemes
• The Stanley Conjecture on Intersections of Four Monomial Prime Ideals
• Stanley depth and size of a monomial ideal
• On the regularity of products and intersections of complete intersections
• A Generalization of the Taylor Complex Construction
• What can be computed in algebraic geometry?
• Monomial Ideals

This page was built for publication: Castelnuovo-Mumford regularity and projective dimension of a squarefree monomial ideal