Some uniform properties of 2-dimensional local rings

DOI10.1006/JABR.1996.6825zbMath0889.13003OpenAlexW2078074251MaRDI QIDQ1355497

Hsin-Ju Wang

Publication date: 26 June 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6825

zbMATH Keywords

parameter idealRees ringArtin-Rees lemmauniform Artin-Rees propertyexcellent Noetherian ringrelation type conjecture

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Modules of differentials (13N05)

Related Items (6)

QUADRATIC SEQUENCES AND POWERS OF IDEALS ⋮ Uniform bounds in generalized Cohen-Macaulay rings ⋮ Castelnuovo-Mumford regularity, postulation numbers and relation types ⋮ Integral degree of a ring, reduction numbers and uniform Artin-Rees numbers ⋮ Irreducible affine space curves and the uniform Artin-Rees property on the prime spectrum ⋮ Uniform bounds in sequentially generalized Cohen-Macaulay modules

Cites Work

• Unnamed Item
• On the symmetric and Rees algebra of an ideal generated by a d-sequence
• On the symmetric and Rees algebras of an ideal
• Dualisierende Komplexe in der lokalen Algebra und Buchsbaum-Ringe
• Uniform bounds in noetherian rings
• On the relation type of systems of parameters
• A full uniform Artin-Rees theorem.
• Multiplizitäten in verallgemeinerten COHEN-MACAULAY-Moduln
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Powers of Ideals Generated by Quadratic Sequences

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