Local rings of embedding codepth 3. Examples

DOI10.1007/s10468-012-9390-yzbMath1295.13019arXiv1209.4256OpenAlexW2010039010MaRDI QIDQ2015173

Lars Winther Christensen, Oana Veliche

Publication date: 23 June 2014

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.4256

zbMATH Keywords

free resolutionlocal ringTor algebra

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes and commutative rings (13D02) Theory of modules and ideals in commutative rings (13C99)

Related Items (7)

DG structure on length 3 trimming complexes and applications to Tor algebras ⋮ On monomial Golod ideals ⋮ Applications of Differential Graded Algebra Techniques in Commutative Algebra ⋮ Generic local rings on a spectrum between Golod and Gorenstein ⋮ The Tor algebra of trimmings of Gorenstein ideals ⋮ Trimming a Gorenstein ideal ⋮ Planar Graphs and the Koszul Algebra Structure for Trivariate Monomial Ideals

Uses Software

• Macaulay2

Cites Work

• On the structure of free resolutions of length 3
• A structure theorem for a class of grade three perfect ideals
• Poincaré series of modules over local rings of small embedding codepth or small linking number
• A cohomological study of local rings of embedding codepth 3
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• A Note on Gorenstein Rings of Embedding Codimension Three

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