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Directoid groups
journal contribution
posted on 2023-05-25, 22:14 authored by Barry GardnerBarry Gardner, Parmenter, MMWe 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 JournalVolume
58Article number
3Number
3Pagination
669-681ISSN
1572-9141Publication status
- Published
Rights statement
The original publication is available at www.springerlink.com 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.caRepository Status
- Open
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