no. 1
On subdirectly irreducible automata
RAIRO. Informatique théorique, Tome 15 (1981) no. 1, pp. 23-46. 
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     volume = {15},
     number = {1},
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     url = {http://archive.numdam.org/item/ITA_1981__15_1_23_0/}
}
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Demlová, M.; Demel, J.; Koubek, V. On subdirectly irreducible automata. RAIRO. Informatique théorique, Tome 15 (1981) no. 1, pp. 23-46. http://archive.numdam.org/item/ITA_1981__15_1_23_0/

1. A. V. Aho, J. E. Hopcroft and J. D. Ullman, The Design and Analysis of Computer Algorithms, Addison-Wesley, 1974. | MR | Zbl

2. M. A. Arbib, Theories of Abstract Automata, Englewood Cliffs, N. J., Prentice-Hall Inc., 1969. | MR | Zbl

3. G. Birkhoff, Lattice Theory, A.M.S., 1968.

4. G. Birkhoff, Subdirect Unions in Universal Algebra, Bull. Amer. Math. Soc., 50, 1944, pp. 764-768. | MR | Zbl

5. A.H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups, Amer. Math. Soc., 1964.

6. M. Demlová, J. Demel and V. Koubek, Several Algorithms for Finite Algebras, F.C.T., 1979, pp. 99-104. | MR | Zbl

7. M. Demlová, J. Demel and V. Koubek, Algorithms Deciding Subdirect Irreducibility of Algebras, to appear.

8. J. Hartmanis and R. E. Stearns, Algebraic Structure Theory of Sequential Machines, Englewood Cliffs, N. J., Prentice-Hall Inc., 1966. | MR | Zbl

9. B. M. Schein, Embedding of Semigroups in Generalized Groups (russian), Matem. sb., 55, 1961, pp. 397-400. | MR

10. B. M. Schein, About Transitive Representations of Semigroups (russian), Uspechi matem. nauk, 18 1963, pp. 215-222.

11. G. Thierrin, Irreducible Automata, Proc. 25th Summer Meeting of Canadian Math. Congress, 1971, pp. 245-262. | MR | Zbl

12. E. J. Tully, Representation of a Semigroup by Transformations Acting Transitively on a Set, Amer. J. Math., 83, 1961, pp. 533-541. | MR | Zbl