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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| Datum: | 2018 |
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| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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oai:ojs.admjournal.luguniv.edu.ua:article-7682018-04-04T08:31:48Z Some classes of directoid groups Gardner, B. J. Parmenter, M. M. directoid, directed abelian group, variety 06F20, 08B99 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. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/768 Algebra and Discrete Mathematics; Vol 8, No 1 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/768/298 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-04T08:31:48Z |
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OJS |
| language |
English |
| topic |
directoid directed abelian group variety 06F20 08B99 |
| spellingShingle |
directoid directed abelian group variety 06F20 08B99 Gardner, B. J. Parmenter, M. M. Some classes of directoid groups |
| topic_facet |
directoid directed abelian group variety 06F20 08B99 |
| format |
Article |
| author |
Gardner, B. J. Parmenter, M. M. |
| author_facet |
Gardner, B. J. Parmenter, M. M. |
| author_sort |
Gardner, B. J. |
| title |
Some classes of directoid groups |
| 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 |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/768 |
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AT gardnerbj someclassesofdirectoidgroups AT parmentermm someclassesofdirectoidgroups |
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2025-07-17T10:31:33Z |
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2025-07-17T10:31:33Z |
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