Rees valuations and asymptotic primes of rational powers in noetherian rings and lattices

DOI10.1016/j.jalgebra.2006.08.014zbMath1119.13017OpenAlexW2072963116MaRDI QIDQ868869

David E. Rush

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.08.014

zbMATH Keywords

Rees valuationNoether latticeprojectively equivalent\(A\)-transformpseudo-valuation

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Noether lattices (06F10)

Related Items (4)

Limit behavior of the rational powers of monomial ideals ⋮ Unnamed Item ⋮ On Homogeneous Prime Spectra of Certain Rees Rings ⋮ Computing rational powers of monomial ideals

Cites Work

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• Asymptotic prime divisors
• Abstract commutative ideal theory
• On asymptotic prime divisors
• Abstract commutative ideal theory without chain condition
• On the prime divisors of zero in form rings
• Projectively equivalent ideals and Rees valuations
• Asymptotic and integral closure of elements in multiplicative lattices
• Some asymptotic properties of powers of ideals
• Valuations Associated with a Local Ring (I)
• Valuations Associated with Ideals
• Valuations Associated with Ideals (II)
• On prime divisors of large powers of elements in Noether lattices
• Asymptotic Stability of Ass(M/I n M)
• A-Transforms and Hilbert Functions in Local Lattices
• On prime divisors of \(I^n\), \(n\) large

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