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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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/768 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543360471269376 |
|---|---|
| author | Gardner, B. J. Parmenter, M. M. |
| author_facet | Gardner, B. J. Parmenter, M. M. |
| author_sort | Gardner, B. J. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T08:31:48Z |
| 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. |
| first_indexed | 2026-02-08T07:58:04Z |
| format | Article |
| id | admjournalluguniveduua-article-768 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:04Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| spellingShingle | directoid directed abelian group variety 06F20 08B99 Gardner, B. J. Parmenter, M. M. Some classes of directoid groups |
| title | 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_short | Some classes of directoid groups |
| title_sort | some classes of directoid groups |
| topic | directoid directed abelian group variety 06F20 08B99 |
| topic_facet | directoid directed abelian group variety 06F20 08B99 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/768 |
| work_keys_str_mv | AT gardnerbj someclassesofdirectoidgroups AT parmentermm someclassesofdirectoidgroups |