Some classes of directoid groups
Algebra and discrete mathematics, no. 1 (2009), pp. 44-58.

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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.
Keywords: directed abelian group, variety.
Mots-clés : directoid
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B. J. Gardner; M. M. Parmenter. Some classes of directoid groups. Algebra and discrete mathematics, no. 1 (2009), pp. 44-58. http://geodesic.mathdoc.fr/item/ADM_2009_1_a5/