Publication result detail

Free algebras in varieties

PAVLÍK, J.

Original Title

Free algebras in varieties

English Title

Free algebras in varieties

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

English 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

cocomplete category; free algebra; variety; natural transformation

Key words in English

cocomplete category; free algebra; variety; natural transformation

Authors

PAVLÍK, J.

RIV year

2011

Released

01.01.2010

Publisher

Masarykova univerzita

Location

Brno

ISBN

1212-5059

Periodical

Archivum Mathematicum

Volume

46

Number

1

State

Czech Republic

Pages from

25

Pages to

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"
}