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 ...
In this work necessary and sufficient conditions that isotope of n-IP-loop (n ∈ N∗, n > 3) is also n-IP-loop are proved. Definition of n-ary Moufang loop is given, example of such loop is constructed.