Detail výsledku

Free algebras in varieties

PAVLÍK, J. Free algebras in varieties. Archivum Mathematicum, 2010, vol. 46, no. 1, p. 25-38. ISSN: 1212-5059.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Pavlík Jan, Mgr., Ph.D., ÚM OAAG (FSI)
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

cocomplete category; free algebra; variety; natural transformation

Rok
2010
Strany
25–38
Časopis
Archivum Mathematicum, roč. 46, č. 1, ISSN 1212-5059
Vydavatel
Masarykova univerzita
Místo
Brno
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"
}
Pracoviště
Ústav matematiky (ÚM)
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