Publication detail

Free algebras in varieties

PAVLÍK, J.

English title

Free algebras in varieties

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

Original abstract

We define varieties of algebras for an arbitrary endofunctor on a cocomplete category using pairs of natural transformations. This approach is proved to be equivalent to one of equational classes defined by equation arrows. Free algebras in the varieties are investigated and their existence is proved under the assumptions of accessibility.

Keywords in English

cocomplete category; free algebra; variety; natural transformation

Released

2010-01-01

Publisher

Masarykova univerzita

Location

Brno

ISSN

1212-5059

Journal

Archivum Mathematicum

Volume

46

Number

1

Pages from–to

25–38

Pages count

14

BIBTEX


@article{BUT49132,
  author="Jan {Pavlík}",
  title="Free algebras in varieties",
  journal="Archivum Mathematicum",
  year="2010",
  volume="46",
  number="1",
  pages="25--38",
  issn="1212-5059"
}