Result Details
Free algebras in varieties
PAVLÍK, J. Free algebras in varieties. Archivum Mathematicum, 2010, vol. 46, no. 1, p. 25-38. ISSN: 1212-5059.
Type
journal article
Language
English
Authors
Pavlík Jan, Mgr., Ph.D., IM DAAG (FME)
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
Published
2010
Pages
25–38
Journal
Archivum Mathematicum, vol. 46, no. 1, ISSN 1212-5059
Publisher
Masarykova univerzita
Place
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"
}
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