Essential sequences

DOI10.1016/0021-8693(85)90102-4zbMath0599.13004OpenAlexW4213143090MaRDI QIDQ1080481

Stephen McAdam, Louis J. jun. Ratliff

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90102-4

zbMATH Keywords

completionlocal ringessential gradeessential sequenceessential prime divisor

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Local rings and semilocal rings (13H99)

Related Items (21)

Essential sequences and Rees rings ⋮ Finite transforms of a Noetherian ring ⋮ On linearly equivalent ideal topologies ⋮ On the relevant transform and the relevant component of an ideal ⋮ Asymptotic behavior of integral closures, quintasymptotic primes and ideal topologies ⋮ Quintasymptotic primes and four results of Schenzel ⋮ On the symbolic topology on an ideal ⋮ On ideals whose adic and symbolic topologies are linearly equivalent ⋮ On the kernel of a monadic transformation ⋮ Quintessential-modulated ideals ⋮ Two notes on ideal-transforms ⋮ Persistent primes and projective extensions of ideals ⋮ QUINTESSENTIAL PRIMES AND IDEAL TOPOLOGIES OVER A MODULE ⋮ Note on Symbolic Powers and Going Down ⋮ On the grade and cograde of a Noetherian filtration ⋮ Essential sequences and projective equivalence ⋮ Three Theorems on Form Rings ⋮ Grade functions and two classical theorems ⋮ Essential sequences over an ideal and essential cograde ⋮ Grade Schemes and Grade Functions ⋮ Five notes on asymptotic prime divisors

Cites Work

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• Independent elements, unmixedness theorems, and asymptotic prime divisors
• Asymptotic sequences
• Three notes on \(R^{(1)}\)
• Asymptotic prime divisors and going down
• On asymptotic prime divisors
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• A Peculiar Unmixed Domain
• On the Chain Problem of Prime Ideals
• On the number of Elements Independent with respect to an Ideal
• Asymptotic Stability of Ass(M/I n M)
• Note on coefficient fields of complete local rings

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