This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
Almeida, J., Some pseudovariety joins involving the pseudovariety of finite groups, Semigroup Forum 37 (1988) 53–57.
—, The algebra of implicit operations, Algebra Universalis 24 (1988) (to appear).
—, Implicit operations on finite ℐ-trivial semigroups and a conjecture of I. Simon, manuscript, University of Minho, 1986.
—, Residually finite congruences and quasi-regular subsets in uniform algebras, Portugaliæ Mathematica (to appear).
—, On pseudovarieties, varieties of languages, filters of congruences, pseudoidentities and related topics, Algebra Universalis (to appear).
—, Decision problems for commutative or nilpotent pseudovarieties of semigroups, in preparation.
Almeida, J. and A. Azevedo, Implicit operations on certain classes of semigroups, in S. Goberstein and P. Higgins (Eds.), Semigroups and their Applications, Proceedings 1986 Chico Conf., D. Reidel, 1987 (1–11).
—, The join of the pseudovarieties of ℛ-trivial and \(\mathcal{L}\) -trivial monoids, manuscript, University of Minho, 1987.
Azevedo, A., Doctoral dissertation, in preparation.
—, Operations that preserve homomorphisms on the class of finite semigroups DS (in Portuguese), Proceedings of the II Meeting of Portuguese Algebraists, University of Porto, 1987, 33–44.
—, The join of the pseudovariety J with permutative pseudovarieties, presented at the Lisbon International Algebra Conference, Lisbon, 1988.
Banaschewski, B., The Birkhoff Theorem for varieties of finite algebras, Algebra Universalis 17 (1983) 360–368.
Burris, S. and H. P. Sankappanavar, A Course in Universal Algebra, Springer-Verlag, New York, 1981.
Eilenberg, S., Automata, Languages and Machines, Vol. B, Academic Press, New York, 1976.
Furstenberg, H., Recurrence in Ergodic Theory and Combinatorial Number Theory, Princeton University Press, Princeton, N.J., 1981.
R. P. Hunter, Certain finitely generated compact zero-dimensional semigroups, J. Austral. Math. Soc. (Series A) 44 (1988) 265–270.
König, R., Reduction algorithms for some classes of aperiodic monoids, R.A.I.R.O. Informatique Théorique 19 (1985) 233–260.
Lallement, G., Semigroups and Combinatorial Applications, Wiley, New York, 1979.
Lawvere, F. W., Functorial semantics of algebraic theories, dissertation, Columbia University, 1963.
Perkins, P., Bases for equational theories of semigroups, J. Algebra 11 (1968) 298–314.
Pin, J.-E., Varieties of Formal Languages, Plenum, London, 1986.
Rauzy, G., Théorie des langages et complexité des algorithmes, Jounées d'Avignon, 1983.
Reiterman, J., The Birkhoff theorem for finite algebras, Algebra Universalis 14 (1982) 1–10.
Rhodes, J., New techniques in global semigroup theory, in S. Goberstein and P. Higgins (Eds.), Semigroups and their Applications, Proceedings 1986 Chico Conf., D. Reidel, 1987 (169–181).
Sapir, M. V., On the finite basis property for pseudovarieties of finite semigroups, to appear in Comptes Rendues Acad. Sc. Paris.
Simon, I., Piecewise testable events, Proc. 2nd GI Conf., Lect. Notes in Comp. Sci. 33, Springer, 1975, 214–222.
Straubing, H. and D. Thérien, Finite J-trivial monoids and partially ordered monoids, in S. Goberstein and P. Higgins (Eds.), Semigroups and their Applications, Proceedings 1986 Chico Conf., D. Reidel, 1987 (183–189).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Almeida, J. (1989). Equations for pseudovarieties. In: Pin, J.E. (eds) Formal Properties of Finite Automata and Applications. LITP 1988. Lecture Notes in Computer Science, vol 386. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0013118
Download citation
DOI: https://doi.org/10.1007/BFb0013118
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51631-6
Online ISBN: 978-3-540-46721-2
eBook Packages: Springer Book Archive