Some classes of directoid groups

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• ISSN: 1726-3255
• Main Authors: Gardner, B.J., Parmenter, M.M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153381
• 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.

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.