Detail publikace

Free algebras in varieties

PAVLÍK, J.

Anglický název

Free algebras in varieties

Typ

Článek recenzovaný mimo WoS a Scopus

Jazyk

en

Originální abstrakt

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.

Klíčová slova anglicky

cocomplete category; free algebra; variety; natural transformation

Vydáno

2010-01-01

Nakladatel

Masarykova univerzita

Místo

Brno

ISSN

1212-5059

Časopis

Archivum Mathematicum

Ročník

46

Číslo

1

Strany od–do

25–38

Počet stran

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"
}