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Monofunctors as reflectors. (English) Zbl 0223.18003


MSC:

18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
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References:

[1] S. Baron, Reflectors as compositions of epi-reflectors, Trans. Amer. Math. Soc. 136 (1969), 499 – 508. · Zbl 0181.02403
[2] Spencer E. Dickson, A torsion theory for Abelian categories, Trans. Amer. Math. Soc. 121 (1966), 223 – 235. · Zbl 0138.01801
[3] Philip Dwinger, The amalgamation problem from a categorical point of view, Proc. Conf. on Universal Algebra (Queen’s Univ., Kingsto, Ont., (1969), Queen’s Univ., Kingston, Ont., 1970, pp. 190 – 210.
[4] Pierre Gabriel, Des catégories abéliennes, Bull. Soc. Math. France 90 (1962), 323 – 448 (French). · Zbl 0201.35602
[5] Horst Herrlich, Topologische Reflexionen und Coreflexionen, Lecture Notes in Mathematics, No. 78, Springer-Verlag, Berlin-New York, 1968 (German). · Zbl 0182.25302
[6] Horst Herrlich, An example in category theory, Math. Z. 113 (1970), 309 – 312. · Zbl 0179.32102 · doi:10.1007/BF01110330
[7] G. M. Kelly, Monomorphisms, epimorphisms, and pull-backs, J. Austral. Math. Soc. 9 (1969), 124 – 142. · Zbl 0169.32604
[8] J. F. Kennison, Full reflective subcategories and generalized covering spaces, Illinois J. Math. 12 (1968), 353 – 365. · Zbl 0155.31402
[9] Joachim Lambek, Torsion theories, additive semantics, and rings of quotients, With an appendix by H. H. Storrer on torsion theories and dominant dimensions. Lecture Notes in Mathematics, Vol. 177, Springer-Verlag, Berlin-New York, 1971. · Zbl 0213.31601
[10] Barry Mitchell, Theory of categories, Pure and Applied Mathematics, Vol. XVII, Academic Press, New York-London, 1965. · Zbl 0136.00604
[11] Gerhard Preuss, Eine Charakterisierung epireflektiver Unterkategorien einer Kategorie mit Inversionseigenshaft, Manuscripta Math. 1 (1969), 307 – 316 (German, with English summary). · Zbl 0184.25802 · doi:10.1007/BF01172139
[12] Claus Michael Ringel, Diagonalisierungspaare. II, Math. Z. 122 (1971), 10 – 32 (German). · Zbl 0206.30101 · doi:10.1007/BF01113561
[13] R. G. Swan, Algebraic \?-theory, Lecture Notes in Mathematics, No. 76, Springer-Verlag, Berlin-New York, 1968. · Zbl 0193.34601
[14] J. L. Verdier, Séminaire géométrie algébrique 1963/64, Inst. Hautes Études Sci., Paris, 1964. MR 34 #7520.
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