On \(f\)-rings that are not formally real

DOI10.5802/afst.1279zbMath1213.06013OpenAlexW2315643053MaRDI QIDQ1959929

James J. Madden

Publication date: 12 October 2010

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2010_6_19_S1_143_0

zbMATH Keywords

lattice-ordered ringsvaluation theory\(f\)-ringstotal orderings

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Ordered rings, algebras, modules (06F25)

Related Items (4)

Towards understanding the Pierce-Birkhoff conjecture via MV-algebras ⋮ Henriksen and Isbell on \(f\)-rings ⋮ Some comments and examples on generation of (hyper-)Archimedean \(\ell\)-groups and \(f\)-rings ⋮ Equational classes of \(f\)-rings with unit: Disconnected classes

Cites Work

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• Pierce-Birkhoff rings
• Lattice ordered rings and function rings
• Valuations and semi-valuations of graded domains
• Groupes et anneaux reticules
• Semi-algebraic function rings and reflectors of partially ordered rings
• Notes on ordered rings
• Totally ordered commutative monoids

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