Syrbu, ParascoviaCeban, Dina2018-02-222018-02-222017SYRBU, P., CEBAN, D. On orthogonal systems of ternary quasigroups admitting nontrivial paratopies. In: Quasigroups and Related Systems. 2017, nr. 25, pp. 133-150. ISSN 1561-2848.1561-2848https://msuir.usm.md/handle/123456789/1648In 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.enquasigroupopArticle