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.
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2009 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2009
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/153381 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862727688555331584 |
|---|---|
| author | Gardner, B.J. Parmenter, M.M. |
| author_facet | Gardner, B.J. Parmenter, M.M. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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 | 2025-12-07T19:04:31Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153381 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:04:31Z |
| publishDate | 2009 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Some classes of directoid groups Gardner, B.J. Parmenter, M.M. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153381 |
| work_keys_str_mv | AT gardnerbj someclassesofdirectoidgroups AT parmentermm someclassesofdirectoidgroups |