On reducibility of n-quasigroups
نویسنده
چکیده
If the arity of a maximal irreducible retractof an n-quasigroup M belongs to {3, . . . , n − 3}, then M is reducible.
منابع مشابه
n-Ary Quasigroups of Order 4
We characterize the set of all n-ary quasigroups of order 4: every n-ary quasigroup of order 4 is permutably reducible or semilinear. Permutable reducibility means that an n-ary quasigroup can be represented as a composition of k-ary and (n− k +1)-ary quasigroups for some k from 2 to n−1, where the order of arguments in the representation can differ from the original order. The set of semilinea...
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