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Torsion theories in non-additive categories. (English) Zbl 0283.18002


MSC:

18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
18D05 Double categories, \(2\)-categories, bicategories and generalizations (MSC2010)
18E40 Torsion theories, radicals
18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
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References:

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[9] LAMBEK, J. and RATTRAY, B.A.: Localization at injectives in complete categories. Proc. Amer. Math. Soc.41, 1-9 (1973). · Zbl 0249.18007 · doi:10.1090/S0002-9939-1973-0414651-5
[10] MITCHELL, B.: Theory of Categories. Academic Press 1965. · Zbl 0136.00604
[11] RINGEL, C.M.: Monofunctors as reflectors. Trans. Amer.Math.Soc.161, 293-306 (1971). · Zbl 0206.30102 · doi:10.1090/S0002-9947-1971-0292907-X
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