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Browsing Articole ştiinţifice by Author "URSU, Leonid"

Browsing Articole ştiinţifice by Author "URSU, Leonid"

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  • About one special inversion matrix of 3-ary and 4-ary IP-loops 
    URSU, Leonid (Institutul de Matematică şi Informatică al AŞM, 2014)
    It is known that an n-IP-quasigroup can have more than one inversion matrix. We prove that one of these matrices for a 3-ary IP-loop and for a 4-ary IP-loop is the matrix of permutations every of which fixes identity of a ...
  • About one special inversion matrix of non-symmetric n-IP-loop 
    URSU, Leonid (Institutul de Matematică şi Informatică al AŞM, 2017)
    It is known that n-IP-quasigroups have more than one inversion matrix. It is proved that one of these inversion matrices in the class of non-symmetric n-IP-loops is so-called matrix [Iij ] of permutations, any of which has ...
  • On generalization of the notion of Moufang loop to n-ary case 
    ONOI, Vasile; URSU, Leonid (Institutul de Matematică şi Informatică al AŞM, 2019)
    Using isotopical approach we generalize concept of binary Moufang loop on n-ary (n > 2) case. We give two examples of ternary Moufang loop which are not a ternary group.

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