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References
M. Barr, Coequalizers and free triples, Math. Zeit. 116 (1970), 307–322.
J. Beck, Distributive laws, Lecture Notes in Math. 80 (1969), 119–140.
J. Beck, On coherence isomorphisms, Preprint, Forschungsinst. für Math., E.T.H. Zürich, (1971).
B.J. Day and G.M. Kelly, Enriched functor categories, Lecture Notes in Math. 106 (1969), 178–191.
E. Dubuc, Free monoids, to appear in Journal of Algebra.
S. Eilenberg and G.M. Kelly, Closed categories, Proc. Conf. on Categorical Algebra (La Jolla 1965), Springer-Verlag 1966.
J.R. Isbell, On coherent and strict algebras, Jour. of Algebra 13 (1969), 299–307.
G.M. Kelly, An abstract approach to coherence, Lecture Notes in Math. 281 (1972), 106–147.
G.M. Kelly, On clubs and doctrines, in this volume.
G.M. Kelly, Doctrinal adjunction, in this volume.
G.M. Kelly and S. Mac Lane, Coherence in closed categories, Jour. Pure and Applied Algebra 1 (1971), 97–140.
G.M. Kelly and S. Mac Lane, Closed coherence for a natural transformation, Lecture Notes in Math. 281 (1972), 1–28.
G.M. Kelly and R. Street, Review of the elements of 2-categories, in this volume.
A. Kock, Monads on symmetric monoidal closed categories, Arch. Math. 21 (1970), 1–10.
J. Lambek, Deductive systems and categories I. Syntactic calculus and residuated categories, Math. Systems Theory 2 (1968), 287–318.
J. Lambek, Deductive systems and categories II. Standard constructions and closed categories, Lecture Notes in Math. 86 (1969), 76–122.
M.L. Laplaza, Coherence for associativity not an isomorphism, Jour. Pure and Applied Algebra 2 (1972), 107–120.
M.L. Laplaza, Coherence for distributivity, Lecture Notes in Math. 281 (1972), 29–65.
M.L. Laplaza, A new result of coherence for distributivity, Lecture Notes in Math. 281 (1972), 214–235.
F.W. Lawvere, Ordinal sums and equational doctrines, Lecture Notes in Math. 80 (1969), 141–155.
G. Lewis, Coherence for a closed functor, Lecture Notes in Math. 281 (1972), 148–195.
G. Lewis, Coherence for a closed functor, Ph.D. Thesis, University of New South Wales, 1974.
S. Mac Lane, Natural associativity and commutativity, Rice University Studies 49 (1963), 28–46.
R. Street, Fibrations and Yoneda's lemma in a 2-category, in this volume.
M.E. Szabo, Proof-theoretical investigations in categorical algebra, Ph.D. Thesis, McGill Univ., 1970.
M.E. Szabo, A categorical equivalence of proofs, to appear.
R. Voreadu, A coherence theorem for closed categories, Ph.D. Thesis, Univ. of Chicago, 1972.
R. Voreadu, Some remarks on the subject of coherence, to appear in Cahiers de Topologie.
R. Voreadu, Non-commutative diagrams in closed categories, to appear.
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Kelly, G.M. (1974). Coherence theorems for lax algebras and for distributive laws. In: Kelly, G.M. (eds) Category Seminar. Lecture Notes in Mathematics, vol 420. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063106
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DOI: https://doi.org/10.1007/BFb0063106
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