POLYADIC OPERATIONS ON THE CARTESIAN POWERS OF GROUPOIDS, SEMIGROUPS AND RINGS
2011jfw | Galmak A.M.  // Mogilev State University of Food Technology, Mogilev, Belarus, mgup@mogilev.by

Previously was shown [2] that for any numbers n ≥ 3, s ≥ 1, m ≥ 2, on the Cartesian powers An−1 and Am(n−1) of the semigroup A, are respectively defined the (s(n−1)+1)−ary operation [ ]s(n−1)+1,n−1, and the n−ary operation [ ]n,m,m(n−1). Also was shown that for any three integers k ≥ 2, l ≥ 2 and m ≥ 1, and any permutation ƒ 2 Sk on the Cartesian power Bmk of the set B, is defined an l−nary relation [ ]l,ƒ,m,mk. In the present paper studies concerning the polyadic operations on the cartesian powers of universal algebras are continued.

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