Abstract

The functional equation of m×n generalized bisymmetry is¶¶\( G(F_1(x_{11},\ldots, x_{1n}),\ldots, F_m(x_{m1}, \ldots, x_{mn})) \)¶\( = F(G_1(x_{11},\ldots, x_{m1}),\ldots, G_n(x_{1n}, \ldots, x_{mn}))\)¶In this paper we give necessary and sufficient conditions for the solutions to be described in terms of a single cancellative abelian monoid.

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