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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1023,
author = {Franti\v sek Bedna\v r\'\i k and Josef \v Slapal},
title = {On exponentiation on n-ary hyperalgebras},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {21},
year = {2001},
pages = {13-19},
zbl = {0997.08006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1023}
}
František Bednařík; Josef Šlapal. On exponentiation on n-ary hyperalgebras. Discussiones Mathematicae - General Algebra and Applications, Tome 21 (2001) pp. 13-19. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1023/
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