Krull's principal ideal theorem in non-Noetherian settings

DOI10.1017/S0305004118000531zbMath1436.13004arXiv1806.10035MaRDI QIDQ5207969

Bruce Olberding

Publication date: 14 January 2020

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10035

zbMATH Keywords

Nagata transformCohen-Macaulayheight oneprincipal ideal theoremgeneralized local ringminimal prime over a principal idealPrüfer in dimension zero

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Cites Work

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• Finite generation of powers of ideals
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• On the Structure and Ideal Theory of Complete Local Rings
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