Projectively full ideals in noetherian rings

DOI10.1016/j.jalgebra.2005.01.015zbMath1109.13016OpenAlexW2071484010MaRDI QIDQ853905

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

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.01.015

zbMATH Keywords

integrally closed idealprojectively equivalent idealsRees valuations of an ideal

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (9)

Compositions of Consistent Systems of Rank One Discrete Valuation Rings ⋮ Degree functions and projectively full ideals in 2-dimensional rational singularities that can be desingularized by blowing up the unique maximal ideal ⋮ Projectively full ideals in noetherian rings. II. ⋮ Projectively full radical ideals in integral extension rings ⋮ Projective equivalence of ideals in noetherian integral domains ⋮ On Homogeneous Prime Spectra of Certain Rees Rings ⋮ First neighborhood complete ideals in two-dimensional Muhly local domains are projectively full ⋮ A class of projectively full ideals in two-dimensional Muhly local domains ⋮ The Cohen–Macaulay and Gorenstein Properties of Rings Associated to Filtrations

Cites Work

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• Essential prime divisors and projectively equivalent ideals
• Essential sequences and projective equivalence
• Asymptotic prime divisors
• Notes on projectively related ideals and residual division
• Integral closedness of complete-intersection ideals
• Bounds related to projective equivalence classes of ideals
• Projectively equivalent ideals and Rees valuations
• Some asymptotic properties of powers of ideals
• Valuations Associated with Ideals (II)
• A note on form rings and ideals
• Note on a paper of Samuel concerning asymptotic properties of ideals
• Form rings and projective equivalence
• Persistent primes and projective extensions of ideals
• On prime divisors of the integral closure of a principal ideal.

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