Result Details

On exponentiation of n-ary hyperalgebras

BEDNAŘÍK, F., ŠLAPAL, J. On exponentiation of n-ary hyperalgebras. Discussiones Mathematicae - General Algebra and Applications, 2001, vol. 21, no. 1, 7 p. ISSN: 1509-9415.

Type

journal article

Language

English

Authors

Bednařík František
Šlapal Josef, prof. RNDr., CSc.

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.

Keywords

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

Published

2001

Pages

Journal

Discussiones Mathematicae - General Algebra and Applications, vol. 21, no. 1, ISSN 1509-9415

BibTeX

@article{BUT39908,
  author="František {Bednařík} and Josef {Šlapal}",
  title="On exponentiation of n-ary hyperalgebras",
  journal="Discussiones Mathematicae - General Algebra and Applications",
  year="2001",
  volume="21",
  number="1",
  pages="7",
  issn="1509-9415"
}

Departments

Institute of Mathematics (IM)