Geodesic
A two-dimensional Birkhoff's theorem
Theory and applications of categories, Tome 31 (2016), pp. 73-100.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

Birkhoff's variety theorem from universal algebra characterises equational subcategories of varieties. We give an analogue of Birkhoff's theorem in the setting of enrichment in categories. For a suitable notion of an equational subcategory we characterise these subcategories by their closure properties in the ambient algebraic category.
Publié le :
Classification : 18C10, 18C15
Keywords: 2-dimensional universal algebra, equational subcategories 
@article{TAC_2016_31_a3,
     author = {Matej Dostal},
     title = {A two-dimensional {Birkhoff's} theorem},
     journal = {Theory and applications of categories},
     pages = {73--100},
     publisher = {mathdoc},
     volume = {31},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2016_31_a3/}
}
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Matej Dostal. A two-dimensional Birkhoff's theorem. Theory and applications of categories, Tome 31 (2016), pp. 73-100. http://geodesic.mathdoc.fr/item/TAC_2016_31_a3/