Geodesic
Free algebras in varieties
Archivum mathematicum, Tome 46 (2010) no. 1, pp. 25-38.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 08C05, 18C05, 18C20
Keywords: cocomplete category; free algebra; variety; natural transformation 
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     author = {Pavl{\'\i}k, Jan},
     title = {Free algebras in varieties},
     journal = {Archivum mathematicum},
     pages = {25--38},
     publisher = {mathdoc},
     volume = {46},
     number = {1},
     year = {2010},
     mrnumber = {2644452},
     zbl = {1240.08005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2010__46_1_a2/}
}
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Pavlík, Jan. Free algebras in varieties. Archivum mathematicum, Tome 46 (2010) no. 1, pp. 25-38. http://geodesic.mathdoc.fr/item/ARM_2010__46_1_a2/