The first author's work has been financed by a Research Scholarship of the Spanish Ministry of Education and Science.
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References
PFENDER, M., "Universelle Algebra in monoidalen Kategorien", Technische Universität Berlin, July 1973.
GOGUEN, J.A., "L-Fuzzy Sets", Journ. Math. Anal. Appl. (18), 145–174 (1967).
MAC LANE, S., "Categories for the working Mathematician", Springer Verlag, New York, (1971).
MITCHELL, B., "Theory of Categories", Academic Press, New York (1965).
MESEGUER, J.,SOLS, I., "On a Categorical Tensor Calculus for Automata", Zaragoza University, September 1973, (unpublished paper).
GOGUEN, J.A., "Minimal Realization of Machines in Closed Categories", Bull AMS (78), 777–783, (1972).
LAWVERE, F.W., "Functorial Semantics on Algebraic Theories", Proc. Nat. Acad. Sci. USA (50), 869–873 (1963).
DAL CIN, M., "Fuzzy-State Automata, their Stability and Fault-Tolerance". Institute Information Sciences, University of Tübingen.
BUDACH, L., HOEHNKE, H.J., "Uber eine einheitliche Begründung der Automatentheorie", Seminar Report 1. HU-Berlin. (1969–70).
McCULLOCK, MORENO-DIAZ, R., "On a Calculus for Triadas", Neural Networks (78–86), E.R. Caianiello (ed.), Springer Verlag, Berlin (1968).
ZADEH, L.A., "Fuzzy Sets", Inf. Control, (8), 338–353, (1965).
EHRIG, H., KIERMEIER, K.D., KREOWSKI, H.J., KUHNEL, W., "Systematisierung der Automaten Theorie", T.U.-Berlin, (seminar 1972–73).
MARTINEZ, P., MESEGUER, J., "Probabilistic Automata as Bilinear Automata", unpublished paper, April 1973.
MESEGUER, J., SOLS, I., "Categorical Tensor Representation of Deterministic, Relational and Probabilistic Finite Functions" (to appear in Actas de las II Jornadas Matemà ticas Hispano-Lusitanas, Madrid 1973).
HOTZ, G., "Eine Algebraisierung des Syntheseproblems von Schaltkreisen" I and II, EIK (1), 185–206, 209–231, (1965).
POYATOS, F. "Introducción a la TeorÃa de Semimodulos", dissertation, University of Madrid., (1967).
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Meseguer, J., Sols, I. (1975). Automata in semimodule categories. In: Manes, E.G. (eds) Category Theory Applied to Computation and Control. Lecture Notes in Computer Science, vol 25. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07142-3_81
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DOI: https://doi.org/10.1007/3-540-07142-3_81
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