Publication detail

Free algebras in varieties

PAVLÍK, J.

Original Title

Free algebras in varieties

Type

journal article - other

Language

English

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

cocomplete category; free algebra; variety; natural transformation

Authors

PAVLÍK, J.

RIV year

2010

Released

1. 1. 2010

Publisher

Masarykova univerzita

Location

Brno

ISBN

1212-5059

Periodical

Archivum Mathematicum

Year of study

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"
}