Regularity and linearity defect of modules over local rings

DOI10.1216/JCA-2014-6-4-485zbMath1321.13004arXiv1309.4538MaRDI QIDQ485960

Rasoul Ahangari Maleki, Maria Evelina Rossi

Publication date: 14 January 2015

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4538

zbMATH Keywords

regularityKoszul algebraminimal free resolutionassociated graded modulefiltered modulelinearity defect

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Quadratic and Koszul algebras (16S37) Theory of modules and ideals in commutative rings (13C99)

Related Items (6)

Linearity defect of the residue field of short local rings ⋮ Notes on the linearity defect and applications ⋮ Powers of sums and their homological invariants ⋮ Linearity defect of edge ideals and Fröberg's theorem ⋮ Regularity and Koszul property of symbolic powers of monomial ideals ⋮ ON THE ASYMPTOTIC BEHAVIOR OF THE LINEARITY DEFECT

Cites Work

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• Cohen-Macaulayness of almost complete intersection tangent cones
• Hilbert functions of filtered modules
• Regularity of modules over a Koszul algebra
• On the linearity defect of the residue field
• Koszul modules
• Linearity defects of modules over commutative rings
• Minimal free resolution of a finitely generated module over a regular local ring
• Finite regularity and Koszul algebras
• Consecutive cancellations in Betti numbers of local rings
• On the Depth of the Symmetric Algebra
• Koszul Algebras and Regularity
• Homological properties of powers of the maximal ideal of a local ring

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