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ArticleOriginal scientific text

Title

On exponentiation on n-ary hyperalgebras

Authors 1, 1

Affiliations

  1. Department of Mathematics, Technical University of Brno, 616 69 Brno, Czech Republic

Abstract

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

ENG
n-ary hyperalgebra, medial hyperalgebra, diagonalhyperalgebra, power of hyperalgebras, cartesian closed category

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Discussiones Mathematicae - General Algebra and Applications
2001/21/1
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Pages:
13-19
Main language of publication
English
Received
1999-03-16
Published
2001

DOI: 10.7151/dmgaa.1023

Exact and natural sciences