Abstract :
[en] Let X be a nonempty set and let i,j in {1,2,3,4}. We say that
a binary operation F:X^2 -> X is (i,j)-selective if
F(F(x_1,x_2),F(x_3,x_4)) = F(x_i,x_j),
for all x_1,x_2,x_3,x_4 in X. In this paper we provide
characterizations of the class of (i,j)-selective operations. We
also investigate some subclasses by adding algebraic properties such
as associativity or bisymmetry.
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