Geodesic
On exponentiation on n-ary hyperalgebras
Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 1, pp. 13-19

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For n-ary hyperalgebras we study a binary operation of exponentiation which to a given pair of n-ary hyperalgebras assigns their power, i.e., an n-ary hyperalgebra carried by the corresponding set of homomorphisms. We give sufficient conditions for the existence of such a power and for a decent behaviour of the exponentiation. As a consequence of our investigations we discover a cartesian closed subcategory of the category of n-ary hyperalgebras and homomorphisms between them.
Keywords: n-ary hyperalgebra, medial hyperalgebra, diagonalhyperalgebra, power of hyperalgebras, cartesian closed category 
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Bednařík, František; Šlapal, Josef. On exponentiation on n-ary hyperalgebras. Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 1, pp. 13-19. http://geodesic.mathdoc.fr/item/DMGAA_2001_21_1_a1/