Geodesic
Directoid groups
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 669-681 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We continue the study of directoid groups, directed abelian groups equipped with an extra binary operation which assigns an upper bound to each ordered pair subject to some natural restrictions. The class of all such structures can to some extent be viewed as an equationally defined substitute for the class of (2-torsion-free) directed abelian groups. We explore the relationship between the two associated categories, and some aspects of ideals of directoid groups.
We continue the study of directoid groups, directed abelian groups equipped with an extra binary operation which assigns an upper bound to each ordered pair subject to some natural restrictions. The class of all such structures can to some extent be viewed as an equationally defined substitute for the class of (2-torsion-free) directed abelian groups. We explore the relationship between the two associated categories, and some aspects of ideals of directoid groups.
Classification : 06F20, 08B99
Keywords: directed abelian group; variety 
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}
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Gardner, B. J.; Parmenter, M. M. Directoid groups. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 669-681. http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a5/

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