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Relative functor categories and categories of algebras. (English) Zbl 0165.32902


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[1] André, M., Categories of functors and adjoint functors, Batelle Rept. (1964), Genève · Zbl 0146.02401
[2] Beck, J. M., Triples, algebras and cohomology, (Dissertation (1967), Columbia University)
[3] Beck, J. M., The tripleableness theorem, (Mimeographed notes (1967), Cornell University)
[4] Bénabou, J., Catégories avec multiplication, C. R. Acad. Sci. Paris, 256, 1887-1890 (1963) · Zbl 0111.02201
[5] Bénabou, J., Algèbreélémentaire dans les catégories avec multiplication, C. R. Acad. Sci. Paris, 258, 771-774 (1964) · Zbl 0127.24901
[6] Bénabou, J., Catégories relatives, C. R. Acad. Sci. Paris, 260, 3824-3827 (1965) · Zbl 0136.00702
[7] Bunge, M. C., Categories of set valued functors, (Dissertation (1966), University of Pennsylvania)
[8] Eilenberg, S.; Kelly, G. M., Closed Categories, (Proceedings of the Conference on Categorical Algebra. Proceedings of the Conference on Categorical Algebra, La Jolla 1965 (1966), Springer: Springer Berlin-Heidelberg-New York) · Zbl 0192.10604
[9] Eilenberg, S.; Moore, J. C., Adjoint functors and triples, Ill. J. Math., 9, 381-398 (1965) · Zbl 0135.02103
[10] Freyd, P. J., Abelian Categories (1964), Harper and Row: Harper and Row New York · Zbl 0121.02103
[11] Freyd, P. J., Algebra-valued functors in general and tensor products in particular, Coll. Math., 14, 89-106 (1966) · Zbl 0144.01003
[12] Gabriel, P.; Zisman, M., Calculus of fractions and homotopy theory (1967), Springer: Springer Berlin-Heidelberg-New York · Zbl 0186.56802
[13] Godement, R., Théorie des faisceaux (1958), Hermann: Hermann Paris · Zbl 0080.16201
[14] Huber, P. J., Homotopy theory in general categories, Math. Ann., 144, 361-385 (1961) · Zbl 0099.17905
[15] Kan, D. M., Adjoint functors, Trans. AMS, 87, 294-329 (1958) · Zbl 0090.38906
[16] Kelly, G. M., On MacLane’s conditions for coherence of natural associativities, commutativities, etc., J. Algebra, 1, 397-402 (1964) · Zbl 0246.18008
[17] Kelly, G. M., Tensor products in categories, J. Algebra, 2, 15-37 (1965) · Zbl 0135.02102
[18] Lambek, J., Completions of categories, Springer Lecture Notes in Mathematics, 24 (1966) · Zbl 0143.02802
[19] Lawvere, F. W., Functorial semantics of algebraic theories, (Dissertation (1963), Columbia University) · Zbl 0119.25901
[20] Lawvere, F. W., An elementary theory of the category of sets, (Proc. Nat. Acad. Sci. U.S.A., 50 (1963)), 869-872 · Zbl 0119.25901
[21] Lawvere, F. W., The category of categories as a foundation for mathematics, (Proceedings of the Conference on Categorical Algebra. Proceedings of the Conference on Categorical Algebra, La Jolla 1965 (1966), Springer: Springer Berlin-Heidelberg-New York) · Zbl 0192.09702
[22] Linton, F. E.J., Autonomous categories and duality of functors, J. Algebra, 2, 315-349 (1965) · Zbl 0166.27503
[23] Linton, F. E.J., Some aspects of equational categories, (Proceedings of the Conf. on Cat. Alg.. Proceedings of the Conf. on Cat. Alg., La Jolla 1965 (1966), Springer: Springer Berlin-Heidelberg-New York) · Zbl 0166.27503
[24] Linton, F. E.J., Autonomous equational categories, J. Math. Mech., 15, 637-642 (1966) · Zbl 0146.25104
[28] MacLane, S., Natural associtivity and commutativity, Rice university studies, 49, 28-46 (1963) · Zbl 0244.18008
[29] MacLane, S., Categorical algebra, Bull. A.M.S., 71, 40-106 (1965) · Zbl 0161.01601
[30] Manes, E. G., A triple miscellany: some aspects of the theory of algebras over a triple, (Dissertation (1967), Wesleyan University)
[31] Mitchell, B., Theory of categories (1965), Academic Press: Academic Press New York
[32] Mityagin, B. S.; Sˇvarc, A. S., Functors in categories of Banach spaces, Russian Mathematical Surveys, 19 (1964) · Zbl 0129.08205
[33] Sikorski, R., Boolean algebras (1964), Springer: Springer Berlin-Heidelberg-New York · Zbl 0191.31505
[34] Spanier, E., Quasi-topologics, Duke Math. J., 30, 1-14 (1963)
[35] Verdier, J. L., ExposéIV, (Séminaire Artin-Grothendieck, Fas., 1 (1963-1964))
[36] Yoneda, N., On the homology theory of modules, J. Fac. Sci. Univ. Tokyo, Sect. I.7, 193-221 (1954) · Zbl 0058.01902
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