Self-tests for freeness over commutative Artinian rings.

DOI10.1016/j.jpaa.2010.08.010zbMath1218.13012OpenAlexW2093511998MaRDI QIDQ531331

Liana M. Şega

Publication date: 29 April 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.08.010

zbMATH Keywords

Auslander conjectureAuslander-Reiten conjectureArtinian standard graded algebras

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) 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)

Related Items (10)

Naïve liftings of DG modules ⋮ Applications of Differential Graded Algebra Techniques in Commutative Algebra ⋮ Exterior powers and Tor-persistence ⋮ Persistence of homology over commutative Noetherian rings ⋮ A study of Tate homology via the approximation theory with applications to the depth formula ⋮ Vanishing of Ext and Tor over fiber products ⋮ On the theory of generalized Ulrich modules ⋮ On modules with self Tor vanishing ⋮ Poincaré series of modules over compressed Gorenstein local rings ⋮ Finitistic extension degree.

Cites Work

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• Support varieties and cohomology over complete intersections
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• Liftings and weak liftings of modules
• Free resolutions over short Gorenstein local rings
• Koszul modules
• Linearity defects of modules over commutative rings
• Isomorphism classes of short Gorenstein local rings via Macaulay’s inverse system
• Free resolutions over short local rings
• On a Generalized Version of the Nakayama Conjecture
• Homological properties of powers of the maximal ideal of a local ring

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