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Théories algébriques et extension de prefaisceaux. (French) Zbl 0326.18005


MSC:

18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
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References:

[1] 1 C. Ehresmann : a) Catégories structurées d’opérateurs , C.R.A.S. Paris , t. 256 ( 1963 ). MR 197529 | Zbl 0217.06901 · Zbl 0217.06901
[2] b) Expansion des systèmes de structures dominés , C.R.A.S. Paris , t. 262 ( 1966 ). MR 202795 | Zbl 0246.18010 · Zbl 0246.18010
[3] 2 F.E.J. Linton , Lecture Notes n^\circ 80 , Springer ( 1969 ): a) Coequalizers in categories of algebras , b) An outline of functorial semantics , c) Applied functorial semantics . · Zbl 0181.02802
[4] 3 L. Coppey , Décompositions algébriques de structures en produits , Esquisses Mathématiques n^\circ 14 , Paris ( 1971 ). MR 374236 | Zbl 0371.18001 · Zbl 0371.18001
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