| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 394 1 |
| Ultima descărcare din IBN: 2021-01-29 08:10 |
| Căutarea după subiecte similare conform CZU |
| 512.548.72 (2) |
| Algebră (410) |
 SM ISO690:2012DUDEK, Wieslaw, MONZO, Robert. Translatable quadratical quasigroups. In: Quasigroups and Related Systems, 2020, vol. 28, nr. 2(44), pp. 203-228. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 28, Numărul 2(44) / 2020 / ISSN 1561-2848 | ||||||
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| CZU: 512.548.72 | ||||||
| Pag. 203-228 | ||||||
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| Rezumat | ||||||
The concept of a k-translatable groupoid is introduced. Those k-translatable quadratical quasigroups induced by the additive group of integers modulo m, where k < 40, are listed for m ≤ 1200. The fine structure of quadratical quasigroups is explored in detail and the Cayley tables of quadratical quasigroups of orders 5, 9, 13 and 17 are produced. All but those of order 9 are k-translatable, for some k. Quadratical quasigroups induced by the additive group of integers modulo m are proved to be k-translatable, for some k. Open questions and thoughts about future research in this area are given. |
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