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Comparison problems and (m,n)-polyquasigroups. (Russian) Zbl 0556.20052
Comparison problems [see M. Lesch and F. Walther, Eine algebraische Begründung einer speziellen Dienstplanaufgabe. Wiss. Z. Pädagog. Hochsch. Dresden 7, No.3, 75-79 (1973)] are connected with the theory of multidimensional matrices. Beginning with these problems the author defines the notion of an algebraic polyoperation, of a polygroupoid and an (m,n)-polyquasigroup, as well as studies their fundamental properties with respect to invertible operations, parastrophies and isotopies.
Reviewer: B.Gleichgewicht
MSC:
20N15 \(n\)-ary systems \((n\ge 3)\)
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