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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| Date: | 2010 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2010
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/154803 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |