The Gluing of Maximal Ideals-Spectrum of a Noetherian Ring-Going up and Going Down in Polynomial Rings

DOI10.2307/1998024zbMath0439.13006OpenAlexW4232893355MaRDI QIDQ5904443

Yves Lequain, Ada Maria de Souza Doering

Publication date: 1980

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1998024

zbMATH Keywords

altitude formulaNoetherian ringintegral extensiongoing downfinite ordered setsaturated chaingoing upnoncatenary ringsGluing of maximal idealsunibranchness

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Extension theory of commutative rings (13B02) Ramification problems in algebraic geometry (14E22) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

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