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Varieties of an enriched category. (English) Zbl 0381.18017

MSC:

18D20 Enriched categories (over closed or monoidal categories)
18D15 Closed categories (closed monoidal and Cartesian closed categories, etc.)
08B99 Varieties
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References:

[1] 0 F. Borceux and B.J. Day , On characterisation of finitary algebraic categories, B ull . Australian Math. Soc. 18 ( 1978 ), 125 - 135 . MR 486046 | Zbl 0383.18004 · Zbl 0383.18004 · doi:10.1017/S0004972700007875
[2] 1 F. Borceux and B.J. Day , Universal algebra in a closed category, Preprint , Inst. de Math. Pure et Appl., Univ. Cath. Louvain ( 1977 ). MR 1291599 · Zbl 0359.18008
[3] 2 F. Borceux and G.M. Kelly , A notion of limit for enriched categories, Bull. A us tral . Math. Soc. 12 ( 1975 ), 49 - 72 . MR 369477 | Zbl 0329.18011 · Zbl 0329.18011 · doi:10.1017/S0004972700023637
[4] 3 B.J. Day and G.M. Kelly , Enriched functor categories, Reports of the Midwest Cat. Seminar , Lecture Notes in Math. 106 , Springer ( 1969 ), 178 - 191 . MR 255633 | Zbl 0214.03202 · Zbl 0214.03202
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[6] 5 Y. Diers , Variétés d’une catégorie , Ann. Soc. Sci. Bruxelles Sér. I , 90 ( 1976 ), 159 - 172 . MR 419556 | Zbl 0327.18005 · Zbl 0327.18005
[7] 6 E.J. Dubuc , Kan extensions in enriched category theory , Lecture Notes in Math. 145 , Springer ( 1970 ). MR 280560 | Zbl 0228.18002 · Zbl 0228.18002
[8] 7 S. Eilenberg and G.M. Kelly , Closed categories , Proc. Conf. categ. algebra La Jolla 1965 , Springer 1966 , 421 - 562 . MR 225841 | Zbl 0192.10604 · Zbl 0192.10604
[9] 8 F.E.J. Linton , Some aspects of equational categories , Proc. Conf. categ. alg. La Jolla 1965 , Springer 1966 , 84 - 94 . MR 209335 | Zbl 0201.35003 · Zbl 0201.35003
[10] 9 S. Maclane , Categories for the working mathematician , Grad. Texts in Math. 5 , Springer , 1971 . MR 354798 | Zbl 0232.18001 · Zbl 0232.18001
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