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Matricial theories. (English) Zbl 0361.18004


MSC:

18C10 Theories (e.g., algebraic theories), structure, and semantics
18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
18B20 Categories of machines, automata
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References:

[1] Mitchell, B., Theory of Categories (1965), Academic Press: Academic Press New York/London · Zbl 0136.00604
[2] Elgot, C. C., (Rose, H. E.; Shepherdson, J. C., Logic Colloquium ’73. Logic Colloquium ’73, Monadic computation and iterative algebraic theories, IBM Research Report RC 4564 (1973) (1975), North Holland)
[3] Elgot, C. C., The common algebraic structure of exit-automata and machines, Computing, 6, 3-4 (1970) · Zbl 0264.94033
[4] Eilenberg, S.; Wright, J. B., Automata in general algebras, Inform. Contr., 11 (1967) · Zbl 0175.27902
[5] Johnson, J. S.; Manes, E. G., On modules over a semiring, J. Algebra, 15, 57-67 (1970) · Zbl 0217.34302
[6] Lawvere, F. W., Functorial semantics of algebraic theories, (Proc. Nat. Acad. Sci., 50 (1963)), 869-872 · Zbl 0119.25901
[7] Lawvere, F. W., Some algebraic problems in the context of functorial semantics of algebraic theories, (Reports of the Midwest Category Seminar, Vol. II (1968), Springer-Verlag: Springer-Verlag New York/Berlin) · Zbl 0119.25901
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