scientific article; zbMATH DE number 7350216

zbMath1462.13009MaRDI QIDQ4989039

Yaser Khalatpour

Publication date: 20 May 2021

Full work available at URL: https://www1.mat.uniroma1.it/ricerca/rendiconti/42_2_(2021)_163-175.html

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zbMATH Keywords

regular rings\(\delta\)-invariantGorenstein ringsgenerically Gorenstein rings

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Cohen-Macaulay modules in associative algebras (16G50) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes and commutative rings (13D02) Cohen-Macaulay modules (13C14) Regular local rings (13H05)

Cites Work

• Liaison des variétés algébriques. I
• Gorenstein dimensions
• Characterizations of regular local rings via syzygy modules of the residue field
• Homology of perfect complexes
• Liftings and weak liftings of modules
• Syzygy modules with semidualizing or G-projective summands
• The homological theory of maximal Cohen-Macaulay approximations
• Hilbert Coefficients and the Depths of Associated Graded Rings
• On the higher delta invariants of a Gorenstein local ring
• A note on minimal cohen-macaulay approximations
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