| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 1026 17 |
| Ultima descărcare din IBN: 2024-01-01 18:49 |
| Căutarea după subiecte similare conform CZU |
| 512.548 (81) |
| Algebră (410) |
 SM ISO690:2012SYRBU, Parascovia, CEBAN, Dina. On -quasigroups of type T1. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2014, nr. 2(75), pp. 36-43. ISSN 1024-7696. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 2(75) / 2014 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 512.548 | ||||||
| Pag. 36-43 | ||||||
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 Descarcă PDF |
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| Rezumat | ||||||
Quasigroups satisfying the identity x ( x • xy ) = y are called π -quasigroups of type T 1 . The spectrum of the defining identity is precisely q = 0 or 1(mod 3), except for q = 6. Necessary conditions when a finite π -quasigroup of type T 1 has the order q = 0 (mod 3), are given. In particular, it is proved that a finite π -quasigroup of type T 1 such that the order of its inner mapping group is not divisibl e by three has a left unit. Necessary and sufficient conditions when the i dentity x ( x • xy ) = y is invariant under the isotopy of quasigroups (loops) are foun d. |
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| Cuvinte-cheie Minimal identity, Pi-quasigroup of type T1, inner mapping group, invariants under isotopy, spectrum |
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