Stability of quasi-socle ideals

DOI10.1216/JCA-2012-4-2-269zbMath1260.13031MaRDI QIDQ1941824

Jun Horiuchi

Publication date: 22 March 2013

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

Full work available at URL: https://projecteuclid.org/euclid.jca/1343846894

zbMATH Keywords

Cohen-Macaulay ringmultiplicityassociated graded ringlocal cohomologyBuchsbaum ringquasi-socle ideal

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15)

Related Items (1)

Integral Closure

Cites Work

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• The structure of Sally modules -- towards a theory of non-Cohen-Macaulay cases
• Quasi-socle ideals and Goto numbers of parameters
• Quasi-socle ideals in local rings with Gorenstein tangent cones
• Links of symbolic powers of prime ideals
• Asymptotic behavior of parameter ideals in generalized Cohen-Macaulay modules
• Quasi-socle ideals in Gorenstein numerical semigroup rings
• Integral closedness of complete-intersection ideals
• Reduction number of links of irreducible varieties
• On the integral closure of ideals
• Linkage and reduction numbers
• The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two
• Hilbert coefficients and Buchsbaumness of associated graded rings.
• Links of prime ideals and their Rees algebras
• Quasi-socle ideals in a Gorenstein local ring
• The equality \(I^2=QI\) in Buchsbaum rings
• Quasi-socle ideals in Buchsbaum rings
• Links of prime ideals
• Toward a theory of generalized Cohen-Macaulay modules

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