Publication result detail

On exponentiation of n-ary hyperalgebras

BEDNAŘÍK, F., ŠLAPAL, J.

Original Title

On exponentiation of n-ary hyperalgebras

English Title

On exponentiation of n-ary hyperalgebras

Type

Peer-reviewed article not indexed in WoS or Scopus

Original 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.

English 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

Key words in English

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

Authors

BEDNAŘÍK, F., ŠLAPAL, J.

Released

01.01.2001

ISBN

1509-9415

Periodical

Discussiones Mathematicae - General Algebra and Applications

Volume

21

Number

1

State

Republic of Poland

Pages from

13

Pages count

7

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"
}