no. 1
On subdirectly irreducible automata
RAIRO. Informatique théorique, Volume 15 (1981) no. 1, pp. 23-46. 
@article{ITA_1981__15_1_23_0,
     author = {Demlov\'a, M. and Demel, J. and Koubek, V.},
     title = {On subdirectly irreducible automata},
     journal = {RAIRO. Informatique th\'eorique},
     pages = {23--46},
     publisher = {EDP-Sciences},
     volume = {15},
     number = {1},
     year = {1981},
     zbl = {0482.68050},
     mrnumber = {610944},
     language = {en},
     url = {http://www.numdam.org/item/ITA_1981__15_1_23_0/}
}
TY  - JOUR
AU  - Demlová, M.
AU  - Demel, J.
AU  - Koubek, V.
TI  - On subdirectly irreducible automata
JO  - RAIRO. Informatique théorique
PY  - 1981
DA  - 1981///
SP  - 23
EP  - 46
VL  - 15
IS  - 1
PB  - EDP-Sciences
UR  - http://www.numdam.org/item/ITA_1981__15_1_23_0/
UR  - https://zbmath.org/?q=an%3A0482.68050
UR  - https://www.ams.org/mathscinet-getitem?mr=610944
LA  - en
ID  - ITA_1981__15_1_23_0
ER  - 
%0 Journal Article
%A Demlová, M.
%A Demel, J.
%A Koubek, V.
%T On subdirectly irreducible automata
%J RAIRO. Informatique théorique
%D 1981
%P 23-46
%V 15
%N 1
%I EDP-Sciences
%G en
%F ITA_1981__15_1_23_0
Demlová, M.; Demel, J.; Koubek, V. On subdirectly irreducible automata. RAIRO. Informatique théorique, Volume 15 (1981) no. 1, pp. 23-46. http://www.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