ON ORTHOGONAL SYSTEMS OF TERNARY QUASIGROUPS ADMITTING NONTRIVIAL PARATOPIES.

Ceban, Dina; Syrbu, Parascovia

dc.contributor.author	Syrbu, Parascovia
dc.contributor.author	Ceban, Dina
dc.date.accessioned	2018-02-22T12:58:43Z
dc.date.available	2018-02-22T12:58:43Z
dc.date.issued	2017
dc.identifier.citation	SYRBU, P., CEBAN, D. On orthogonal systems of ternary quasigroups admitting nontrivial paratopies. In: Quasigroups and Related Systems. 2017, nr. 25, pp. 133-150. ISSN 1561-2848.	en
dc.identifier.issn	1561-2848
dc.identifier.uri	http://dspace.usm.md:8080/xmlui/handle/123456789/1648
dc.description.abstract	In the present workwe describ eallorthogonal systems consisting of three ternary quasigroupop erations and of all (three) ternary selectors,admitting at least one nontrivial paratopy. In[11]we proved that there exist precisely 48 orthogonal systems of the considered form,admitting atleast one paratopy,which components are three quasigroupop erations,or two quasigroupop erations and a selector. Now we show that there exist precisely 105 such systems, admitting at least one nontrivial paratopy which comp onents are two selectors and a quasigroup op eration, or three selectors.	en
dc.language.iso	en	en
dc.publisher	Institutul de Matematică şi Informatică al AŞM	en
dc.subject	quasigroupop	en
dc.title	ON ORTHOGONAL SYSTEMS OF TERNARY QUASIGROUPS ADMITTING NONTRIVIAL PARATOPIES.	en
dc.type	Article	en