Prereductions of ideals in local rings

DOI10.1080/00927872.2020.1722828zbMath1441.13022OpenAlexW3007633234MaRDI QIDQ5119284

Louis J. jun. Ratliff, Kishor Shah, Paula A. Kemp

Publication date: 3 September 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1722828

zbMATH Keywords

local ringintegral closureRees ringanalytically independent elementsRatliff-Rush closurereduction of idealalgebraically closed residue fieldideal covermaximal relevant idealprereduction of idealprereduction of typereduction of type

Mathematics Subject Classification ID

Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Integral dependence in commutative rings; going up, going down (13B21) Other special types of modules and ideals in commutative rings (13C13)

Cites Work

• Notes on ideal covers and associated primes
• On Homogeneous Prime Spectra of Certain Rees Rings
• The ratliff-rush ideals in a noetherian ring
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)
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