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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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2010
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| Онлайн доступ: | 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 |
| Цитувати: | 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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nasplib_isofts_kiev_ua-123456789-154803 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Lattices of classes of groupoids with one-sided quasigroup conditions |
| spellingShingle |
Lattices of classes of groupoids with one-sided quasigroup conditions Galuszka, J. |
| title_short |
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_sort |
lattices of classes of groupoids with one-sided quasigroup conditions |
| author |
Galuszka, J. |
| author_facet |
Galuszka, J. |
| publishDate |
2010 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154803 |
| 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. |
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AT galuszkaj latticesofclassesofgroupoidswithonesidedquasigroupconditions |
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2025-12-07T15:59:32Z |
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2025-12-07T15:59:32Z |
| _version_ |
1850865795915055104 |