Browsing Facultatea de Matematică şi Informatică by Author "Ceban, Dina"

Browsing Facultatea de Matematică şi Informatică by Author "Ceban, Dina"

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  • ASUPRA π-T-QUASIGRUPURILOR 
    Ceban, Dina (CEP USM, 2013-09-26)
  • ON ORTHOGONAL SYSTEMS OF TERNARY QUASIGROUPS ADMITTING NONTRIVIAL PARATOPIES. 
    Syrbu, Parascovia; Ceban, Dina (Institutul de Matematică şi Informatică al AŞM, 2017)
    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 ...
  • ON QUASIGROUPS WITH SOME MINIMAL IDENTITIES 
    Ceban, Dina; Syrbu, Parascovia (CEP USM, 2015)
    Quasigroups with two identities (of typesT1 and T2) from Belousov-Bennett classification are considered. It is proved that a π-quasigroup of type T2 is also of type only if it satisfies the identity yx∙x=y (the “right keys ...
  • ON SOME IDENTITIES IN TERNARY QUASIGROUPS 
    Ceban, Dina (CEP USM, 2016)
    Identities of length 5, with two variables in binary quasigroups are called minimal identities. V.Belousov and, independently, F. Bennett showed that, up to the parastrophic equivalence, there are seven minimal identities. ...
  • ON THE HOLOMORPH OF ¼-QUASIGROUPS OF TYPE T1 
    Ceban, Dina; Syrbu, Parascovia ("VALINEX", 2014)
    Quasigroups satisfying the identity x¢(x¢(x¢y)) = y are called ¼-quasigroups of type T1. Necessary and su±cient conditions for the holomorph of a ¼-quasigroup of type T1 to be a ¼-quasigroup of type T1 are established. ...
  • ON Π-QUASIGROUPS OF TYPET1 
    Syrbu, Parascovia; Ceban, Dina (Academy of Sciences of Moldova, 2014)
    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 ...

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