Lattices of classes of groupoids with one-sided quasigroup conditions
It is shown that two classes of groupoids satisfying certain one-sided quasigroup conditions, namely the classes of one-sided torsion groupoids and of one-sided finite exponent groupoids, are complete lattices, both isomorphic to the lattice of Steinitz numbers with the divisibility relation.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2010 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154803 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Lattices of classes of groupoids with one-sided quasigroup conditions / J. Galuszka// Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 31–40. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862684916483883008 |
|---|---|
| author | Galuszka, J. |
| author_facet | Galuszka, J. |
| citation_txt | Lattices of classes of groupoids with one-sided quasigroup conditions / J. Galuszka// Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 31–40. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | It is shown that two classes of groupoids satisfying certain one-sided quasigroup conditions, namely the classes of one-sided torsion groupoids and of one-sided finite exponent groupoids, are complete lattices, both isomorphic to the lattice of Steinitz numbers with the divisibility relation.
|
| first_indexed | 2025-12-07T15:59:32Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154803 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:59:32Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Galuszka, J. 2019-06-16T05:24:44Z 2019-06-16T05:24:44Z 2010 Lattices of classes of groupoids with one-sided quasigroup conditions / J. Galuszka// Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 31–40. — Бібліогр.: 13 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:05B15, 08A30, 08A40, 08A62,08A99, 14R10, 20N02, 20N05. https://nasplib.isofts.kiev.ua/handle/123456789/154803 It is shown that two classes of groupoids satisfying certain one-sided quasigroup conditions, namely the classes of one-sided torsion groupoids and of one-sided finite exponent groupoids, are complete lattices, both isomorphic to the lattice of Steinitz numbers with the divisibility relation. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Lattices of classes of groupoids with one-sided quasigroup conditions Article published earlier |
| spellingShingle | Lattices of classes of groupoids with one-sided quasigroup conditions Galuszka, J. |
| title | Lattices of classes of groupoids with one-sided quasigroup conditions |
| title_full | Lattices of classes of groupoids with one-sided quasigroup conditions |
| title_fullStr | Lattices of classes of groupoids with one-sided quasigroup conditions |
| title_full_unstemmed | Lattices of classes of groupoids with one-sided quasigroup conditions |
| title_short | Lattices of classes of groupoids with one-sided quasigroup conditions |
| title_sort | lattices of classes of groupoids with one-sided quasigroup conditions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154803 |
| work_keys_str_mv | AT galuszkaj latticesofclassesofgroupoidswithonesidedquasigroupconditions |