Gauss’ lemma and valuation theory

DOI10.2989/16073606.2015.1119214zbMath1423.13014OpenAlexW2514761242WikidataQ124818026 ScholiaQ124818026MaRDI QIDQ5236015

Ánh, Phạm Ngọc, Michael F. Siddoway

Publication date: 15 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/44239/1/gauss.pdf

zbMATH Keywords

lattice ordered groupsBezout domainsGauss' lemma

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Ordered semigroups and monoids (06F05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Cites Work

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• Divisibility Theory of Arithmetical Rings with One Minimal Prime Ideal
• Divisibility theory in commutative rings: Bezout monoids
• Divisibility theory of semi-hereditary rings
• Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First
• Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal
• A Generalization of Eisenstein's Criterion
• Number fields

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