A brief survey and history of asymptotic prime divisors

DOI10.1216/RMJ-1983-13-3-437zbMath0522.13001OpenAlexW2057388122MaRDI QIDQ1055820

Louis J. jun. Ratliff

Publication date: 1983

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1983-13-3-437

zbMATH Keywords

Cohen-Macaulay ringheightanalytic spreadRees ringasymptotic prime divisorsasymptotic gradeI-independence

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) History of mathematics in the 20th century (01A60) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) History of commutative algebra (13-03)

Related Items (6)

Depth Functions and Symbolic Depth Functions of Homogeneous Ideals ⋮ Associated points and integral closure of modules ⋮ Asymptotic Sequences over Ideals and Projectively Equivalent Ideals with Respect to Modules ⋮ Note on asymptotic prime divisors and symbolic powers of primary ideals ⋮ Depth functions of powers of homogeneous ideals ⋮ Asymptotic sequences

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