Buchsbaum Stanley–Reisner Rings and Cohen–Macaulay Covers

DOI10.1080/00927870600651638zbMath1118.13024OpenAlexW2081887466MaRDI QIDQ5489305

Ken-ichi Yoshida, Naoki Terai

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1080/00927870600651638

zbMATH Keywords

regularitymultiplicityAlexander dualitylinear resolutionBuchsbaum ring

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) Coverings in algebraic geometry (14E20)

Related Items

Stanley-Reisner Rings ⋮ Buchsbaum homogeneous algebras with minimal multiplicity

Cites Work

• Linear free resolutions and minimal multiplicity
• Rings with monomial relations having linear resolutions
• Resolutions of Stanley-Reisner rings and Alexander duality
• Bounds on Castelnuovo-Mumford regularity for generalized Cohen-Macaulay graded rings
• Combinatorics and commutative algebra.
• Buchsbaum complexes with linear resolutions
• Buchsbaum Stanley–Reisner rings with minimal multiplicity
• A construction of two-dimensional Buchsbaum simplicial complexes