posted on 2023-05-16, 23:22authored byBarry Gardner, Parmenter, MM
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.
History
Publication title
Czechoslovak Mathematical Journal
Volume
58
Pagination
669-681
ISSN
0011-4642
Department/School
School of Natural Sciences
Publisher
Springer
Place of publication
Germany
Rights statement
The original publication is available at www.springerlink.com