Proceedings of the American Mathematical Society

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

 

 

On the direct product of $ V$-groups


Author: Donald P. Minassian
Journal: Proc. Amer. Math. Soc. 30 (1971), 434-436
MSC: Primary 06.75
MathSciNet review: 0286727
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Abstract: Let G and H be ordered groups such that every full order on a subgroup extends to a full order on the group; then the direct product, $ G \times H$, need not have this property. In fact a stronger result holds.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0286727-5
Keywords: Partially ordered group, fully ordered group, V-group, $ {V^ \ast }$-group, VAN-group, VN-group
Article copyright: © Copyright 1971 American Mathematical Society