Free profinite semigroups over some classes of semigroups locally in DG

International Journal of Algebra and Computation

Volumn 10, Issue 4, 2000, Pages 491-537

  Costa, José Carlos ^a  

^a UNIVERSITY OF MINHO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034393369     PISSN: 02181967     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0218196700000194     Document Type: Article

References (25)

1. J. Almeida, The algebra of implicit operations, Algebra Universalis 26 (1989), 16-72.
2. J. Almeida, Implicit operations on finite J -trivial semigroups and a conjecture of I. Simon, J. Pure Appl. Algebra 69 (1990), 205-218.
3. J. Almeida, Finite Semigroups and Universal Algebra, World Scientific, Singapore, 1994.
4. J. Almeida and A. Azevedo, The join of the pseudovarieties of R-trivial and L-trivial semigroups, J. Pure Appl. Algebra 60 (1989), 129-137.
5. J. Almeida and A. Azevedo, On regular implicit operations, Portugaliæ Mathematica 50 (1993), 35-61.
6. J. Almeida and P. Weil, Reduced factorizations in free profinite groups and join decompositions of pseudovarieties, Int. J. Algebra Comput. 4 (1994), 375-403.
7. J. Almeida and P. Weil, Relatively free profinite monoids: an introduction and examples, in Semigroups, Formal Languages and Groups, ed. J. Fountain, Kluwer, 1995, pp. 73-117.
8. J. Almeida and P. Weil, Free profinite R-trivial semigroups, Int. J. Algebra Comput. 7 (1997), 625-671.
9. A. Azevedo, Operations preserving homomorphisms on the class of finite semigroups DS, in Actas II Encontro de Algebristas Portugueses, ed. J. Almeida, Universidade do Porto, 1987, pp. 33-43.
10. A. Azevedo, Operações implícitas sobre pseudovariedades de semigrupos. Aplicações, Ph.D. Thesis, Universidade do Porto, 1989.
11. J. Costa, Quelques intersections de variétés de semigroupes finis et de variétés de langages, opérations implicites, Ph.D. Thesis, Université Paris 6, 1998.
12. J. Costa, Free profinite R-trivial, locally idempotent and locally commutative semigroups, Semigroup Forum 58 (1999), 423-444.
13. S. Eilenberg, Automata, Languages and Machines, Vol. B, Academic Press, New York, 1976.
14. D. Gildenhuys and L. Ribes, Profinite groups and Boolean graphs, J. Pure Appl. Algebra 12 (1978), 21-47.
15. J.-E. Pin, Variétés de langages formels, Masson, Paris, 1984. English translation: Varieties of formal languages, Plenum, New York and North Oxford, London, 1986.
16. J.-E. Pin and H. Straubing, Monoids of upper triangular matrices, in Semigroups: Structure and Universal Algebraic Problems, ed. G. Pollák, Amsterdam, North Holland, 1985, pp. 259-272.
17. J. Reiterman, The Birkhoff theorem for finite algebras, Algebra Universalis 14 (1982), 1-10.
18. C. Selmi, Over testable languages, Theor. Comput. Sci. 161 (1996), 157-190.
19. I. Simon, Piecewise testable events, Proc. 2nd GI Conf. Lecture Notes in Computer Science, Vol. 33, Springer, Berlin, 1975, pp. 214-222.
20. H. Straubing, Finite semigroup varieties of the form V * D, J. Pure Appl. Algebra 36 (1985), 53-94.
21. D. Thérien and A. Weiss, Graph congruences and wreath products, J. Pure Appl. Algebra 36 (1985), 205-215.
22. P. Trotter and P. Weil, The lattice of pseudovarieties of idempotent semigroups and a nonregular analogue, Algebra Universalis 37 (1997), 491-526.
23. M. Volkov, On a class of semigroup pseudovarieties without finite pseudoidentity basis, Int. J. Algebra Comput. 5 (1995), 127-135.
24. P. Weil, Implicit operations on pseudovarieties: an introduction, in Semigroups and Monoids and Applications, ed. J. Rhodes, World Scientific, Singapore, 1991, pp. 89-104.
25. M. Zeitoun, Opérations implicites et variétés de semigroupes finis, Ph.D. Thesis, Université Paris VII, 1993.