Geodesic
Identities in Categories
Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 297-299

Voir la notice de l'article provenant de la source Cambridge University Press

In [4] Hatcher introduced the notion of an identity in an arbitrary category and proved a characterization of quasivarietal subcategories which is similar to Birkhoff's characterization of varietal subcategories in universal algebra. The aim of this note is to show that the theorem of Hatcher as well as the categorical generalization of Birkhoff's theorem are special cases of a "relative" theorem, formulated with respect to a projective structure. 
Herrlich, H.; Ringel, C. M. Identities in Categories. Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 297-299. doi: 10.4153/CMB-1972-055-0
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