Generic local rings on a spectrum between Golod and Gorenstein

DOI10.1016/j.aam.2023.102580arXiv2105.13167OpenAlexW3164848526MaRDI QIDQ6094852

Lars Winther Christensen, Oana Veliche

Publication date: 14 September 2023

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.13167

zbMATH Keywords

Gorenstein ringGolod ringlevel ringgeneric algebraArtinian local ringcompressed ringtor algebra

Mathematics Subject Classification ID

Graded rings (13A02) Structure, classification theorems for modules and ideals in commutative rings (13C05) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Computational homological algebra (13P20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the structure of free resolutions of length 3
• Poincaré series of modules over local rings of small embedding codepth or small linking number
• Betti numbers of compressed level algebras
• Componentwise linear ideals and Golod rings
• Poincaré series of compressed local Artinian rings with odd top socle degree
• The Golod property of powers of the maximal ideal of a local ring
• Über irreduzible Ideale in kommutativen Ringen
• A cohomological study of local rings of embedding codepth 3
• Trimming a Gorenstein ideal
• Local rings of embedding codepth 3. Examples
• Structure theory for a class of grade 3 homogeneous ideals defining type 2 compressed rings
• Linkage classes of grade 3 perfect ideals
• Local rings of embedding codepth 3: a classification algorithm
• Poincaré series of modules over compressed Gorenstein local rings
• Betti numbers of graded modules and cohomology of vector bundles
• Compressed Algebras: Artin Algebras Having Given Socle Degrees and Maximal Length
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Nonunimodality of Graded Gorenstein Artin Algebras
• Geometric Consequences of Extremal Behavior in a Theorem of Macaulay

This page was built for publication: Generic local rings on a spectrum between Golod and Gorenstein