Some classes of directoid groups
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.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2009 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/153381 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Some classes of directoid groups / B.J. Gardner, M.M. Parmenter // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 44–58. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-153381 |
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Gardner, B.J. Parmenter, M.M. 2019-06-14T03:42:09Z 2019-06-14T03:42:09Z 2009 Some classes of directoid groups / B.J. Gardner, M.M. Parmenter // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 44–58. — Бібліогр.: 17 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 06F20, 08B99. https://nasplib.isofts.kiev.ua/handle/123456789/153381 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Some classes of directoid groups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Some classes of directoid groups |
| spellingShingle |
Some classes of directoid groups Gardner, B.J. Parmenter, M.M. |
| title_short |
Some classes of directoid groups |
| title_full |
Some classes of directoid groups |
| title_fullStr |
Some classes of directoid groups |
| title_full_unstemmed |
Some classes of directoid groups |
| title_sort |
some classes of directoid groups |
| author |
Gardner, B.J. Parmenter, M.M. |
| author_facet |
Gardner, B.J. Parmenter, M.M. |
| publishDate |
2009 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/153381 |
| citation_txt |
Some classes of directoid groups / B.J. Gardner, M.M. Parmenter // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 44–58. — Бібліогр.: 17 назв. — англ. |
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AT gardnerbj someclassesofdirectoidgroups AT parmentermm someclassesofdirectoidgroups |
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2025-12-07T19:04:31Z |
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2025-12-07T19:04:31Z |
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1850877434134528000 |