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Algebra and Discrete Mathematics, 2009, Issue 1, Pages 44–58 (Mi adm107)  
This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

Some classes of directoid groups

B. J. Gardnera, M. M. Parmenterb

a 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
Full-text PDF (251 kB) Citations (1)
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.
Received: 27.03.2008
Revised: 01.05.2009
Bibliographic databases:
Document Type: Article
MSC: 06F20, 08B99
Language: English
Citation: B. J. Gardner, M. M. Parmenter, “Some classes of directoid groups”, Algebra Discrete Math., 2009, no. 1, 44–58
Citation in format AMSBIB
\Bibitem{GarPar09}
\by B.~J.~Gardner, M.~M.~Parmenter
\paper Some classes of directoid groups
\jour Algebra Discrete Math.
\yr 2009
\issue 1
\pages 44--58
\mathnet{http://mi.mathnet.ru/adm107}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2542495}
\zmath{https://zbmath.org/?q=an:1199.06072}
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  • https://www.mathnet.ru/eng/adm/y2009/i1/p44
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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