Independent elements, integrally closed ideals, and quasiunmixedness

DOI10.1016/0021-8693(81)90325-2zbMath0471.13001OpenAlexW2043784537MaRDI QIDQ1157361

Louis J. jun. Ratliff

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90325-2

zbMATH Keywords

heightnumber of elements independent with respect to an ideal

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items

Maximum number of independent elements and dimension of prime divisors in completions of local rings ⋮ Three notes on \(R^{(1)}\) ⋮ On a question of D. Rees on classical integral closure and integral closure relative to an Artinian module ⋮ Independent elements and asymptotic sequences ⋮ Two Notes on Imbedded Prime Divisors ⋮ Independent elements, unmixedness theorems, and asymptotic prime divisors ⋮ Note on asymptotic prime divisors and symbolic powers of primary ideals ⋮ Asymptotic sequences ⋮ Asymptotic prime divisors and integral extension rings

Cites Work

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