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A left adjoint construction related to free triples. (English) Zbl 0385.18006


MSC:

18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
18B20 Categories of machines, automata
18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
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References:

[1] Adámek, J., Free algebras and automata realizations in the language of categories, Comment. Math. Univ. Carolinae, 15, 589-602 (1974) · Zbl 0293.18006
[2] Arbib, M.; Manes, E., A categorist’s view of automata and control, (Proc. Symp. Category Theory Applied to Computation and Control (1974), Univ. of Mass), 62-78 · Zbl 0306.18002
[3] Arbib, M.; Manes, E., Machines in a category: an expository introduction, SIAM Review, 16, 163-192 (1974) · Zbl 0288.18005
[4] Barr, M., Coequalizers and free triples, Math. Z., 116, 307-322 (1970) · Zbl 0194.01701
[5] Barr, M., Right exact functors, J. Pure Appl. Algebra, 4, 1-8 (1974) · Zbl 0281.18003
[6] P. Freyd, On the concreteness of certain categories, preprint.; P. Freyd, On the concreteness of certain categories, preprint. · Zbl 0248.18008
[7] Koubek, V., Set functors, Comment. Math. Univ. Carolinae, 12, 175-195 (1971) · Zbl 0217.06803
[8] V. Koubek and J. Reiterman, Automata and categories — input processes, MFCS ’75 Proc., to appear.; V. Koubek and J. Reiterman, Automata and categories — input processes, MFCS ’75 Proc., to appear. · Zbl 0319.94026
[9] Kůrková-Pohlová, V.; Koubek, V., When a generalized algebraic category is monadic, Comment. Math. Univ. Carolinae, 15, 577-587 (1974) · Zbl 0294.18004
[10] Prikry, K., On descending complete ultrafilters, Cambridge Summer School in Math. Logic. Cambridge Summer School in Math. Logic, Lecture Notes, 337, 459-488 (1973)
[11] Trnková, V., Some properties of set functors, Comment. Math. Univ. Carolinae, 10, 323-352 (1969) · Zbl 0183.30401
[12] Trnková, V.; Adámek, J.; Koubek, V.; Reiterman, J., Free algebras, input processes and free monands, Comment. Math. Univ. Carolinae, 16, 339-352 (1975) · Zbl 0308.18001
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