This article is cited in 1 paper

RESEARCH ARTICLE

Some classes of directoid groups

B. J. Gardner^a, M. M. Parmenter<sup>b

a</sup> Discipline of Mathematics, University of Tasmania, Private Bag 37, Hobart, Tas. 7001 Australia
^b Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C 5S7 Canada

Abstract: 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.

Keywords: directoid, directed abelian group, variety.

MSC: 06F20, 08B99

Received: 27.03.2008
Revised: 01.05.2009

Language: English

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