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Adamek, Jiri; Koubek, Vaclav

Functorial algebras and automata. (English) Zbl 0377.94065

Kybernetika, Praha 13, 245-260 (1977).
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Cited in 4 Documents

MSC:

68Q45 Formal languages and automata
18B20 Categories of machines, automata
08B20 Free algebras
18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
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\textit{J. Adamek} and \textit{V. Koubek}, Kybernetika 13, 245--260 (1977; Zbl 0377.94065)
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References:

[1] J. Adámek: Free algebras and automata realizations in the language of categories. Comment. Math. Univ. Carolinae 15 (1974), 589-602. · Zbl 0293.18006
[2] J. Adámek: Categorial automata theory and universal algebra. (In Czech.) Dissertation. · Zbl 1110.18002
[3] J. Adámek: Automata in categories, finiteness contra minimality. Lecture Notes in Comp. Sci. 32. Springer (1975), 160-166.
[4] J. Adámek: Realization theory for automata in categories. To appear in J. Pure Appl. Algebra.
[5] M. A. Arbib E. G. Manes: A categorist’s view of automata and systems. Lecture Notes in Comp. Sci. 25. Springer (1975), 51 - 64. · Zbl 0306.18002
[6] M. A. Arbib E. G. Manes: Adjoint machines, state-behavior machines and duality. J. Pure Appl. Algebra 6, (1975), 313-345. · Zbl 0323.18002
[7] M. Barr: Coequalizers and free triples. Math. Z. 116, (1970), 307-322. · Zbl 0194.01701
[8] H. Herrlich G. E. Strecker: Category theory. Allyn and Bacon, Boston 1973. · Zbl 0265.18001
[9] V. Koubek J. Reiterman: Automata in categories - input processes. Lecture Notes in Comp. Sci. 32. Springer (1975), 280-286. · Zbl 0319.94026
[10] V. Kůrková-Pohlová V. Koubek: When a generalized algebraic category is monadic. Comment. Math. Univ. Carolinae 15 (1974), 577-602.
[11] S. MacLane: Categories for the working mathematician. Springer 1968. · Zbl 0705.18001
[12] B. Mitchell: Theory of categories. Academic Press 1965. · Zbl 0136.00604
[13] J. Reiterman: A left adjoint construction related to free triples. To appear in J. Pure Appl. Algebra. · Zbl 0385.18006
[14] J. Slominsky: The theory of abstract algebras with infinitary operations. Rozprawy Matematyczne 18 (1959).
[15] V. Trnková: On minimal realizations of behavior maps in categorial automata theory. Comment. Math. Univ. Carolinae 15 (1974), 555-566. · Zbl 0296.18003
[16] V. Trnková J. Adámek V. Koubek J. Reiterman: Free algebras, free monads and input processes. Comment. Math. Univ. Carolinae 16 (1975), 339-352. · Zbl 0308.18001
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