DG structure on the length 4 big from small construction

DOI10.1142/S0219498822501079zbMath1494.13017arXiv2004.06794OpenAlexW3135177845MaRDI QIDQ5863495

Keller VandeBogert

Publication date: 1 June 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.06794

zbMATH Keywords

free resolutionsGorenstein ringsDG-algebrasKustin Miller unprojectionbig from small construction

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Other special types of modules and ideals in commutative rings (13C13)

Cites Work

• Unnamed Item
• Algebra structures on resolutions of rings defined by grade four almost complete intersections
• Constructing big Gorenstein ideals from small ones
• Algebra structures on some canonical resolutions
• Generic free resolutions and a family of generically perfect ideals
• The minimal resolution of a codimension four almost complete intersection is a DG-algebra
• The structure of DGA resolutions of monomial ideals
• A grade five Gorenstein algebra with no minimal algebra resolutions
• Resolutions of length four which are differential graded algebras
• Deformation and Linkage of Gorenstein Algebras
• New examples of rigid gorenstein unique factorization domains
• Gorenstein algebras of codimension four and characteristic two
• Obstructions to the Existence of Multiplicative Structures on Minimal Free Resolutions
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Generic Free Resolutions II

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