Geodesic
The strong amalgamation property and (effective) codescent morphisms
Theory and applications of categories, Tome 11 (2003), pp. 438-449

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

Codescent morphisms are described in regular categories which satisfy the so-called strong amalgamation property. Among varieties of universal algebras possessing this property are, as is known, categories of groups, not necessarily associative rings, M-sets (for a monoid M), Lie algebras (over a field), quasi-groups, commutative quasi-groups, Steiner quasi-groups, medial quasi-groups, semilattice$lattices, weakly associative lattices, Boolean algebras, Heyting algebras. It is shown that every codescent morphism of groups is effective.

Classification : 18C20, 18A32, 20J15, 08B25
Keywords: Strong amalgamation property, (effective) codescent morphism, group, variety of universal algebras 
Dali Zangurashvili. The strong amalgamation property and (effective) codescent morphisms. Theory and applications of categories, Tome 11 (2003), pp. 438-449. http://geodesic.mathdoc.fr/item/TAC_2003_11_a19/
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     title = {The strong amalgamation property and (effective) codescent morphisms},
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     year = {2003},
     volume = {11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2003_11_a19/}
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