Stanley-Reisner rings with large multiplicities are Cohen-Macaulay

DOI10.1016/j.jalgebra.2005.10.011zbMath1119.13020arXivmath/0503187OpenAlexW1972292188MaRDI QIDQ855704

Naoki Terai, Ken-ichi Yoshida

Publication date: 7 December 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503187

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (2)

A Note on Cohen–Macaulayness of Stanley–Reisner Rings with Serre's Condition (S₂) ⋮ Multiplicity and Castelnuovo-Mumford regularity of Stanley-Reisner rings

Cites Work

• Applications of Koszul homology to numbers of generators and syzygies
• Linear free resolutions and minimal multiplicity
• Resolutions of Stanley-Reisner rings and Alexander duality
• On the Castelnuovo-Mumford regularity and the arithmetic degree of monomial ideals
• Bounds on Castelnuovo-Mumford regularity for generalized Cohen-Macaulay graded rings
• Combinatorics and commutative algebra.
• Buchsbaum Stanley–Reisner rings with minimal multiplicity
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