Directoid groups

Gardner, B.J. and Parmenter, M.M. (2007) Directoid groups. Czechoslovak Mathematical Journal . ISSN 1572-9141 (In Press)

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Abstract

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 Type:	Article
Additional Information:	Authors' addresses: B.J.Gardner, Discipline of Mathematics, University of Tasmania, Private Bag 37, Hobart, Tas. 7001 Australia. gardner@hilbert.maths.utas.edu.au; M.M.Parmenter, Department of Mathematics and Statistics, Memorial University of Newfoundland, St John's, NL A1C 5S7 Canada. mparmen@morgan.ucs.mun.ca
Keywords:	Keywords: directed abelian group, variety. MSC 2000: 06F20, 08B99
Subjects:	230000 Mathematical Sciences > 230100 Mathematics > 230105 Group Theory And Generalisations (Incl. Topological Groups And Lie Groups)
Collections:	UNSPECIFIED
ID Code:	1679
Deposited By:	Heather Mitchell
Deposited On:	27 Aug 2007
Last Modified:	07 Feb 2008 11:59
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