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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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Інститут прикладної математики і механіки НАН України
2009
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/153381 |
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irk-123456789-1533812019-06-15T01:26:32Z Some classes of directoid groups Gardner, B.J. Parmenter, M.M. 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. 2009 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/153381 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Gardner, B.J. Parmenter, M.M. |
| spellingShingle |
Gardner, B.J. Parmenter, M.M. Some classes of directoid groups Algebra and Discrete Mathematics |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT gardnerbj someclassesofdirectoidgroups AT parmentermm someclassesofdirectoidgroups |
| first_indexed |
2023-05-20T17:38:48Z |
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2023-05-20T17:38:48Z |
| _version_ |
1796153770303815680 |