Browsing 2. Articole by Subject "paratopy"

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MIDDLE BRUCK LOOPS AND THE TOTAL MULTIPLICATION GROUP

Drapal, Ales; Syrbu, Parascovia (Springer, 2022)

Let Q be a loop. The mappings x↦ ax, x↦ xa and x↦ a/ x are denoted by La, Ra and Da, respectively. The loop is said to be middle Bruck if for all a, b∈ Q there exists c∈ Q such that DaDbDa= Dc. The right inverse of Q is ...
ON PARATOPIES OF ORTHOGONAL SYSTEMS OF TERNARY QUASIGROUPS. I

Syrbu, P.; Ceban, D. (Academy of Sciences of Moldova, 2016)

A paratopy of an orthogonal system = {A1,A2, . . . ,An} of n-ary quasigroups, defined on a nonempty set Q, is a mapping : Qn 7→ Qn such that = , where = {A1 ,A2 , . . . ,An }. The paratopies of the orthogonal ...
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. ...

Now showing items 1-3 of 3

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