Primes Associated to an Ideal
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Publication:3995112
DOI10.1090/conm/102zbMath0696.13002OpenAlexW2171506375MaRDI QIDQ3995112
Publication date: 17 September 1992
Published in: Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/conm/102
associated primesregular sequenceRees ringgrade functionsquintasymptotic primesasymptotic primesessential primespersistent primesquintessential primes
Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02)
Related Items (17)
On Rees algebras with a Gorenstein Veronese subring ⋮ A note on quintasymptotic prime ideals ⋮ Symbolic powers, integral closure and local cohomology ⋮ Prime ideals associated to symmetric powers of a module ⋮ Asymptotic prime divisors of torsion-free symmetric powers of modules ⋮ BIFILTRATIONS ON A RING AND ASYMPTOTIC σ-PRIME DIVISOR ⋮ Primes associated to multigraded modules. ⋮ Asymptotic behaviour of certain sets of prime ideals ⋮ On a surmise of McAdam concerning quintasymptotic primes ⋮ Reduced morphisms and Nagata rings ⋮ Uniform equivalence of symbolic and adic topologies ⋮ Modules cofinite with respect to an ideal ⋮ Primary decomposition: Compatibility, independence and linear growth ⋮ Asymptotic Sequences over Ideals and Projectively Equivalent Ideals with Respect to Modules ⋮ The complexity of Frobenius powers of ideals ⋮ On the Irreducible Components of the Form Ring and an Application to Intersection Cycles ⋮ Primary decomposition. II: Primary components and linear growth
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