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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The largest proper variety of lattice ordered groups


Author: W. Charles Holland
Journal: Proc. Amer. Math. Soc. 57 (1976), 25-28
MSC: Primary 06A55
DOI: https://doi.org/10.1090/S0002-9939-1976-0406902-0
MathSciNet review: 0406902
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Abstract: If a lattice ordered group $ G$ satisfies any identical relation, other than those satisfied by every lattice ordered group, then $ G$ is normal valued, and hence satisfies the relation $ ab \leqslant {b^2}{a^2}$ for all $ a,b \geqslant e$.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0406902-0
Keywords: Lattice ordered group, variety, normal valued
Article copyright: © Copyright 1976 American Mathematical Society