The failure of the amalgamation property for representable varieties of l-groups

DOI10.1017/S0305004100068171zbMath0696.06010OpenAlexW1979939191MaRDI QIDQ3472158

Constantine Tsinakis, Wayne B. Powell

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1017/s0305004100068171

zbMATH Keywords

amalgamation propertyvarieties of \(\ell \)-groups

Mathematics Subject Classification ID

Ordered groups (06F15)

Related Items (4)

The Failure of The Amalgamation Property for Semilinear Varieties of Residuated Lattices ⋮ Unnamed Item ⋮ Perfect GMV-Algebras ⋮ Amalgamation and interpolation in ordered algebras.

Cites Work

• An uncountable tower of \(\ell\)-group varieties
• Free products in the class of Abelian l-groups
• Amalgamated sums of Abelian l-groups
• The lattices of varieties of lattice-ordered groups and Lie algebras
• Amalgamating Abelian ordered groups
• A Large Class of Small Varieties of Lattice-Ordered Groups
• Amalgamations of Lattice Ordered Groups
• Free products of lattice ordered groups

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