ON Π-QUASIGROUPS OF TYPET1

Ceban, Dina; Syrbu, Parascovia

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.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	http://dspace.usm.md:8080/xmlui/handle/123456789/580
dc.identifier.uri	https://doaj.org/toc/1024-7696
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.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