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References
BARR, M.: Relational algebras. Reports of the Midwest Category Seminar IV, 39–55. Springer Lecture Notes 137 (1970).
BARR, M.: Factorizations, generators and rank. (Preprint)
BARR, M.: Non-abelian full embedding, I. (Preprint)
BARR, M.: Non-abelian full embedding, II. (Preprint) (For the last two references, see also the announcement in the Reports of the Midwest Category Seminar V, 205–208.)
BENABOU, J.: Introduction to bicategories. Reports of the Midwest Category Seminar I, 1–77. Springer Lecture Notes 47 (1967).
BUCUR and DELEANU: Introduction to the theory of categories and functors. John Wiley and Sons, 1968.
COHN, P.M.: Universal Algebra. Harper and Row, 1965.
ECKMANN, B. [editor]: Seminar on triples and categorical Homology theory. Springer Lecture Notes 80 (1969).
FOLKS, The: Folk theorems. (Unpublished) (we hope)
GRAY, J.S.: Sheaves with values in a category. Notes, Columbia University, 1962.
GRAY, J.S.: Sheaves with values in a category. Topology 3 (1965) 1–18.
GRAY, J.S.: Review of [16], MR 26 (1963) #1887.
GRILLET, P.A.: Morphismes spéciaux et décompositions. C. R. Acad. Sci. Paris 266 (1968) sér.A, 397–398; Quelques propriétés des catégories non-abéliennes, ibid. 550–552; La suite exacte d'homologie dans une catégorie non-abélienne, ibid. 604–606.
GRILLET, P.A.: Directed colimits and sheaves in some non-abelian categories. Reports of the Midwest Category Seminar V, 36–69. Springer Lecture Notes 195 (1971).
GROTHENDIECK, A.: Sur quelques points d'Algèbre homologique. Tohoku Math. J. 9 (1957) 119–221.
HELLER, A. and ROWE, K.A.: On the category of sheaves. Amer. J. Math. 84 (1962) 205–216.
HERRLICH, H.: Topologische reflexionen und Coreflexionen. Springer Lecture Notes 78 (1968).
HILTON, P.: Catégories non-abéliennes. Notes, Université de Montréal (1964).
ISBELL, J.R.: Some remarks concerning categories and subspaces. Canad. J. Math. 9 (1957) 563–577.
ISBELL, J.R.: Subobjects, adequacy, completeness and categories of algebras. Rozprawy Mat. 36 (1964).
ISBELL, J.R.: Structure of categories. Bull. Amer. Math. Soc. 72 (1966) 619–655.
ISBELL, J.R. and HOWIE, J.M.: Epimorphisms and dominions, II. J. Algebra 6 (1967) 7–21.
KELLY, G.M.: Monomorphisms, epimorphisms and pullbacks. J. Austral. Math. Soc. 9 (1969) 124–142.
KENNISON, J.F.: Full reflective subcategories and generalized coverings. Ill. J. Math. 12 (1968) 353–365.
LAWVERE, F.V.: Functorial semantics of algebraic theories. Doct. Diss., Columbia University (1963).
MAC LANE, S.: Groups, categories and duality. Proc. Nat. Acad. Sci. U.S.A. 34 (1948) 263–267.
MAC LANE, S.: Duality for groups. Bull. Amer. Math. Soc. 56 (1950) 485–516.
MAC LANE, S.: An algebra of additive relations. Proc. Nat. Acad. Sci. U.S.A. 47 (1961) 1043–1051.
MAC LANE, S.: Homology. Springer, 1963.
MANES, E.G.: A triple miscellany: some aspects of the theory of algebras over a triple. Doct. Diss., Wesleyan University (1967)
MITCHELL, B.: Theory of categories. Academic Press, 1965.
PIERCE, R.S.: Introduction to the theory of abstract algebras. Holt, Rinehart and Winston, 1968.
PUPPE, D.: Korrespondenzen in Abelschen Kategorien. Math. Ann. 148 (1962) 1–30.
SEMADENI, Z.: Projectivity, injectivity and duality. Rozprawy Mat. 35 (1963).
VAN OSDOL, D.H.: Sheaves of algebras (to appear).
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Grillet, P.A. (1971). Regular categories. In: Exact Categories and Categories of Sheaves. Lecture Notes in Mathematics, vol 236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058581
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DOI: https://doi.org/10.1007/BFb0058581
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