Reductions of ideals in local rings with finite residue fields

DOI10.1090/S0002-9939-10-10050-1zbMath1189.13001OpenAlexW2065439499MaRDI QIDQ3558985

David E. Rush, Louis J. jun. Ratliff, William J. Heinzer

Publication date: 11 May 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-10-10050-1

zbMATH Keywords

analytic spreadminimal reductionfinite free local unramified extensionprojective equivalence of idealsRees valuation rings

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (5)

Minimal reductions and core of ideals in pullbacks ⋮ Reductions and cores of ideals in trivial ring extensions ⋮ Reductions and Core of Ideals in Integral Domains: Some Recent Developments ⋮ Bases of ideals and Rees valuation rings ⋮ Generators of reductions of ideals in a local Noetherian ring with finite residue field

Cites Work

• Projectively full ideals in noetherian rings. II.
• Bases of ideals and Rees valuation rings
• Projectively full radical ideals in integral extension rings
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals, (I)
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