Functorial algebras and automata

Jiří Adámek; Václav Koubek

Kybernetika (1977)

  • Volume: 13, Issue: 4, page (245)-260
  • ISSN: 0023-5954

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Adámek, Jiří, and Koubek, Václav. "Functorial algebras and automata." Kybernetika 13.4 (1977): (245)-260. <http://eudml.org/doc/28222>.

@article{Adámek1977,
author = {Adámek, Jiří, Koubek, Václav},
journal = {Kybernetika},
language = {eng},
number = {4},
pages = {(245)-260},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Functorial algebras and automata},
url = {http://eudml.org/doc/28222},
volume = {13},
year = {1977},
}

TY - JOUR
AU - Adámek, Jiří
AU - Koubek, Václav
TI - Functorial algebras and automata
JO - Kybernetika
PY - 1977
PB - Institute of Information Theory and Automation AS CR
VL - 13
IS - 4
SP - (245)
EP - 260
LA - eng
UR - http://eudml.org/doc/28222
ER -

References

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  1. J. Adámek, Free algebras and automata realizations in the language of categories, Comment. Math. Univ. Carolinae 15 (1974), 589-602. (1974) MR0352209
  2. J. Adámek, Categorial automata theory and universal algebra, (In Czech.) Dissertation. 
  3. J. Adámek, Automata in categories, finiteness contra minimality, Lecture Notes in Comp. Sci. 32. Springer (1975), 160-166. (1975) MR0393176
  4. J. Adámek, Realization theory for automata in categories, To appear in J. Pure Appl. Algebra. MR0460410
  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. (1975) MR0383834
  6. M. A. Arbib E. G. Manes, Adjoint machines, state-behavior machines and duality, J. Pure Appl. Algebra 6, (1975), 313-345. (1975) MR0414654
  7. M. Barr, Coequalizers and free triples, Math. Z. 116, (1970), 307-322. (1970) Zbl0194.01701MR0272849
  8. H. Herrlich G. E. Strecker, Category theory, Allyn and Bacon, Boston 1973. (1973) MR0349791
  9. V. Koubek J. Reiterman, Automata in categories - input processes, Lecture Notes in Comp. Sci. 32. Springer (1975), 280-286. (1975) MR0393177
  10. V. Kůrková-Pohlová V. Koubek, When a generalized algebraic category is monadic, Comment. Math. Univ. Carolinae 15 (1974), 577-602. (1974) MR0360743
  11. S. MacLane, Categories for the working mathematician, Springer 1968. (1968) MR1712872
  12. B. Mitchell, Theory of categories, Academic Press 1965. (1965) Zbl0136.00604MR0202787
  13. J. Reiterman, A left adjoint construction related to free triples, To appear in J. Pure Appl. Algebra. Zbl0385.18006MR0460411
  14. J. Slominsky, The theory of abstract algebras with infinitary operations, Rozprawy Matematyczne 18 (1959). (1959) MR0108457
  15. V. Trnková, On minimal realizations of behavior maps in categorial automata theory, Comment. Math. Univ. Carolinae 15 (1974), 555-566. (1974) MR0352205
  16. V. Trnková J. Adámek V. Koubek J. Reiterman, Free algebras, free monads and input processes, Comment. Math. Univ. Carolinae 16 (1975), 339-352. (1975) MR0371986

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