Essential prime divisors and projectively equivalent ideals

DOI10.1016/0021-8693(87)90151-7zbMath0625.13001OpenAlexW1966418250MaRDI QIDQ579326

J. S. Okon, Daniel Katz, Louis J. jun. Ratliff, Stephen McAdam

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90151-7

zbMATH Keywords

Rees ringessential prime divisorsideals in Noetherian rings

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Local rings and semilocal rings (13H99)

Related Items (12)

Projectively equivalent ideals and Rees valuations ⋮ Quintasymptotic primes and four results of Schenzel ⋮ Projectively full ideals in noetherian rings ⋮ On the kernel of a monadic transformation ⋮ Quintessential-modulated ideals ⋮ Two asymptotic functions ⋮ Bases of ideals and Rees valuation rings ⋮ On the grade and cograde of a Noetherian filtration ⋮ A bracket power characterization of analytic spread one ideals ⋮ Essential sequences and projective equivalence ⋮ Asymptotic Sequences over Ideals and Projectively Equivalent Ideals with Respect to Modules ⋮ Two Notes on Imbedded Prime Divisors

Cites Work

• Five notes on asymptotic prime divisors
• Prime divisors, asymptotic R-sequences and unmixed local rings
• Finite transforms of a Noetherian ring
• Asymptotic prime divisors and going down
• On the Chain Problem of Prime Ideals
• U–essential prime divisors and sequences over an ideal
• Form rings and projective equivalence

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