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Directoid groups


Gardner, BJ and Parmenter, MM, Directoid groups, Czechoslovak Mathematical Journal, 58, (3) pp. 669-681. ISSN 0011-4642 (2008) [Refereed Article]

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DOI: doi:10.1007/s10587-008-0042-7


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.

Item Details

Item Type:Refereed Article
Keywords:directed abelian group, variety
Research Division:Mathematical Sciences
Research Group:Pure mathematics
Research Field:Algebra and number theory
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Gardner, BJ (Dr Barry Gardner)
ID Code:55962
Year Published:2008
Web of Science® Times Cited:1
Deposited By:Mathematics
Deposited On:2009-03-17
Last Modified:2009-06-10
Downloads:2 View Download Statistics

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