Prime divisors, analytic spread and filtrations

DOI10.2140/pjm.1984.113.451zbMath0497.13002OpenAlexW2074232967MaRDI QIDQ1170567

J. S. Okon

Publication date: 1984

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1984.113.451

zbMATH Keywords

analytic spreadsystem of parametersaltitude formulaRees ringessentially powers filtrationlocally quasi- unmixed Noetherian ringweak integral closuresweakly integrally dependent

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

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REGULAR ANALYTIC INDEPENDENCE AND EXTENSIONS OF ANALYTIC SPREAD ⋮ Filtrations, closure operations and prime divisors ⋮ Quasi-graduations of modules and extensions of analytic spread ⋮ New characterizations of quasi-unmixed, unmixed, and Macaulay local domains ⋮ ON FILTRATIONS HAVING SMALL ANALYTIC DEVIATION ⋮ The topology determined by the symbolic powers of primary ideals

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