On congruence extension properties for ordered algebras

DOI10.1007/s10998-015-0088-xzbMath1374.06047OpenAlexW878577827MaRDI QIDQ519931

Lauri Tart, Sohail Nasir, Valdis Laan

Publication date: 31 March 2017

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-015-0088-x

zbMATH Keywords

congruence extension propertyamalgamation propertyordered algebracompatible quasiorderorder-congruencequasiorder extension propertytransferability property

Mathematics Subject Classification ID

Subalgebras, congruence relations (08A30) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Ordered rings, algebras, modules (06F25) Products, amalgamated products, and other kinds of limits and colimits (08B25)

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Cites Work

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• On congruence n-distributivity of ordered algebras
• The congruence extension property for algebraic semigroups
• Examples concerning absolute flatness and amalgamation in pomonoids.
• Every Hamiltonian variety has the congruence extension property - a short proof
• Varieties of ordered algebras
• On Mono- and Epimorphisms in Varieties of Ordered Algebras