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Krohn, Kenneth; Rhodes, John

Algebraic theory of machines. I: Prime decomposition theorem for finite semigroups and machines. (English) Zbl 0148.01002

Trans. Am. Math. Soc. 116, 450-464 (1965).
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Cited in 2 Reviews
Cited in 107 Documents

Keywords:

partial differential equations
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References:

[1] A. H. Clifford and G. R. Preston, The algebraic theory of semigroups, Vol. 1, Math. Surveys No. 7, Amer. Math. Soc., Providence, R. I., 1962. · Zbl 0111.03403
[2] Walter Feit and John G. Thompson, Solvability of groups of odd order, Pacific J. Math. 13 (1963), 775 – 1029. · Zbl 0124.26402
[3] Seymour Ginsburg, An introduction to mathematical machine theory, Addison-Wesley Publishing Co., Inc., Reading, Mass.-Palo Alto, Calif.-London, 1962. · Zbl 0102.33804
[4] V. M. Gluškov, Abstract theory of automata, Uspehi Mat. Nauk 16 (1961), no. 5 (101), 3 – 62 (Russian).
[5] Marshall Hall Jr., The theory of groups, The Macmillan Co., New York, N.Y., 1959.
[6] K. B. Krohn and J. L. Rhodes, Algebraic theory of machines, Proc. Sympos. Math. Theory of Automata (New York, 1962) Polytechnic Press of Polytechnic Inst. of Brooklyn, Brooklyn, N.Y., 1963, pp. 341 – 384.
[7] M. O. Rabin and D. Scott, Finite automata and their decision problems, IBM J. Res. Develop. 3 (1959), 114 – 125. · Zbl 0158.25404 · doi:10.1147/rd.32.0114
[8] D. Rees, On semi-groups, Proc. Cambridge Philos. Soc. 36 (1940), 387 – 400. · JFM 66.1207.01
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