Some classes of directoid groups

Directoid groups are 2-torsion-free abelian groups with an extra binary operation assigning upper bounds. They thus constitute a generalization of abelian l-groups and an equational substitute for directed abelian groups. We discuss some classes of directoid groups, including varieties.

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Bibliographic Details
Date:2009
Main Authors: Gardner, B.J., Parmenter, M.M.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2009
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/153381
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Some classes of directoid groups / B.J. Gardner, M.M. Parmenter // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 44–58. — Бібліогр.: 17 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine