| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 652 2 |
| Ultima descărcare din IBN: 2020-07-01 08:35 |
| Căutarea după subiecte similare conform CZU |
| 512.548+512.57 (3) |
| Algebra (410) |
 SM ISO690:2012DUDEK, Wieslaw, MONZO, Robert. Translatability determines the structure of certain types of idempotent quasigroups. In: Quasigroups and Related Systems, 2020, vol. 28, nr. 1(43), pp. 53-76. ISSN 1561-2848. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Quasigroups and Related Systems |
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| Volumul 28, Numărul 1(43) / 2020 / ISSN 1561-2848 | ||||||
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| CZU: 512.548+512.57 | ||||||
| Pag. 53-76 | ||||||
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| Rezumat | ||||||
We prove that in certain types of k-translatable idempotent quasigroups, the value of k determines all possible orders of k-translatable idempotent quasigroups of a particular type. From this, all k-translatable idempotent quesigroups of that type can be calculated, as well as their parastrophe types. Four operators on the collection of all idempotent, translatable quasigroups are de ned and formulae determining relationships amongst them are given. Necessary and su cient conditions are given for particular types of idempotent, translatable quasigroups to be perpendicular to their dual quasigroup. |
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