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| Ultima descărcare din IBN: 2020-11-21 21:29 |
 SM ISO690:2012BELEAVSCAIA, Galina. Identities with permutations associated with quasigroups isotopic to groups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, nr. 2(54), pp. 19-24. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(54) / 2007 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 19-24 | ||||||
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| Rezumat | ||||||
In this note we select a class of identities with permutations including three variables in a quasigroup (Q, ·) each of which provides isotopy of this quasigroup
to a group and describe a class of identities in a primitive quasigroup (Q, ·, \, /) each
of which is sufficient for the quasigroup (Q, ·) to be isotopic to a group. From these
results it follows that in the identity of V. Belousov [6] characterizing a quasigroup
isotopic to a group (to an abelian group) two from five (one of four) variables can be
fixed. |
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| Cuvinte-cheie quasigroup, Group, abelian group, primitive quasigroup, isotopy of quasigroups |
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