Asymptotic prime divisors and integral extension rings

DOI10.1016/0021-8693(85)90112-7zbMath0567.13003OpenAlexW1975378634MaRDI QIDQ1059678

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)90112-7

zbMATH Keywords

asymptotic prime divisorsasymptotic gradeasymptotic sequencesNoetherian integral extension ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02)

Related Items (7)

On the kernel of a monadic transformation ⋮ Filtrations, closure operations and prime divisors ⋮ Projectively full radical ideals in integral extension rings ⋮ On the grade and cograde of a Noetherian filtration ⋮ A Characterization of locally quasi-unmixed rings ⋮ U–essential prime divisors and sequences over an ideal ⋮ Five notes on asymptotic prime divisors

Cites Work

• Unnamed Item
• On the asymptotic cograde of an ideal
• Asymptotic sequences and Rees rings
• Asymptotic sequences
• Asymptotic prime divisors and going down
• Independent elements, integrally closed ideals, and quasiunmixedness
• On asymptotic prime divisors
• Note on asymptotic prime divisors and symbolic powers of primary ideals
• A Note on Asymptotic Prime Sequences
• Two Applications of Asymptotic Prime Divisors
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals, (I)
• Note on coefficient fields of complete local rings
• On prime divisors of the integral closure of a principal ideal.

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