Result Details

On a co-universal arrow in the construct of n-ary hyperalgebras

ŠLAPAL, J. On a co-universal arrow in the construct of n-ary hyperalgebras. Miskolc Mathematical Notes, 2015, vol. 2015(16), no. 1, p. 507-516. ISSN: 1787-2405.

Type

journal article

Language

English

Authors

Šlapal Josef, prof. RNDr., CSc., IM (FME)

Abstract

We introduce and study a new operation of product of n-ary
hyperalgebras which lies, with respect to set inclusion, between their carte-
sian product and the cartesian product of their idempotent hulls. For every
fixed n-ary hyperalgebra, the product introduced gives an endofunctor of
the construct of n-ary hyperalgebras. We define a power of n-ary hyperal-
gebras and specify a class of n-ary hyperalgebras such that, with respect
to the endofunctor, the power together with the evaluation map constitute
a co-universal arrow for each hyperalgebra of the class.

Keywords

hyperalgebra, diagonality, mediality, combined product, co- universal arrow with respect to a functor.

Published

2015

Pages

507–516

Journal

Miskolc Mathematical Notes, vol. 2015(16), no. 1, ISSN 1787-2405

Publisher

University of Miskolc

Place

Miskolc

DOI

10.18514/MMN.2015.1029

UT WoS

000359454800044

EID Scopus

2-s2.0-84939217644

BibTeX

@article{BUT108181,
  author="Josef {Šlapal}",
  title="On a co-universal arrow in the construct of n-ary hyperalgebras",
  journal="Miskolc Mathematical Notes",
  year="2015",
  volume="2015(16)",
  number="1",
  pages="507--516",
  doi="10.18514/MMN.2015.1029",
  issn="1787-2405"
}

Departments

Institute of Mathematics (IM)