ON Π-QUASIGROUPS OF TYPET1
| dc.contributor.author | Syrbu, Parascovia | |
| dc.contributor.author | Ceban, Dina | |
| dc.date.accessioned | 2016-04-01T10:45:21Z | |
| dc.date.available | 2016-04-01T10:45:21Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | Quasigroups satisfying the identityx(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 divisible by three has a left unit. Necessary and sufficient conditions when the identityx ( x · xy ) = y is invariant under the isotopy of quasigroups (loops) are found | en |
| dc.identifier.citation | SYRBU, P., CEBAN, D. On π-quasigroups of typeT1. In: Buletinul Academiei de Ştiinţe a Republicii Moldova : Matematica. 2014, nr. 2(75), pp. 36-43 | en |
| dc.identifier.issn | 1024-7696 | |
| dc.identifier.uri | https://msuir.usm.md/handle/123456789/580 | |
| dc.identifier.uri | https://doaj.org/toc/1024-7696 | |
| dc.language.iso | en | en |
| dc.publisher | Academy of Sciences of Moldova | en |
| dc.subject | Minimal identity | en |
| dc.subject | π -quasigroup of type T 1 | en |
| dc.subject | spectrum | en |
| dc.subject | invariants under isotopy | en |
| dc.title | ON Π-QUASIGROUPS OF TYPET1 | en |
| dc.type | Article | en |