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On E-pseudovarieties of finite regular semigroups

Published online by Cambridge University Press:  01 April 2008

J. D. RODGERS
J. D. RODGERS*
Affiliation:
School of Mathematical and Geospatial Sciences, RMIT University, 124 Latrobe St, Melbourne, VIC 3000, Australia (email: [email protected])
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Abstract

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Type
PhD Thesis
Information
Bulletin of the Australian Mathematical Society , Volume 77 , Issue 2 , April 2008 , pp. 349 - 351
Copyright
Copyright © 2008 Australian Mathematical Society

References

[1]Agliano, P. and Nation, J. B., ‘Lattices of pseudovarieties’, J. Aust. Math. Soc. (Series A) 46 (1989), 177–183.CrossRefGoogle Scholar
[2]Ash, C. J., ‘Pseudovarieties, generalized varieties and similarly described classes’, J. Algebra 92 (1985), 104–115.CrossRefGoogle Scholar
[3]Birkhoff, G., ‘On the structure of abstract algebras’, Proc. Camb. Phil. Soc. 31 (1935), 433–454.CrossRefGoogle Scholar
[4]Eilenberg, S., Automata, languages and machines, Vol. B (Academic Press, New York, 1976).Google Scholar
[5]Eilenberg, S. and Schützenberger, M. P., ‘On pseudovarieties’, Adv. Math. 19 (1976), 413–418.CrossRefGoogle Scholar
[6]Evans, T., ‘The lattice of semigroup varieties’, Semigroup Forum 2 (1971), 1–43.CrossRefGoogle Scholar
[7]Hall, T. E., ‘Identities for existence varieties of regular semigroups’, Bull. Austral. Math. Soc. 40 (1989), 59–77.CrossRefGoogle Scholar
[8]Kad˘ourek, J. and Szendrei, M. B., ‘A new approach in the theory of orthodox semigroups’, Semigroup Forum 40 (1990), 257–296.CrossRefGoogle Scholar
[9]Mangold, M., ‘E-varieties and E-pseudovarieties of regular semigroups’, Doctoral Thesis, Monash University, 1995.Google Scholar
[10]Pastijn, F. and Trotter, P. G., ‘Complete congruences on lattices of varieties and of pseudovarieties’, Internat. J. Algebra Comput. 8 (1998), 171–201.CrossRefGoogle Scholar
[11]Reiterman, J., ‘The Birkhoff theorem for finite algebras’, Algebra Universalis 14 (1982), 1–10.CrossRefGoogle Scholar
[12]Rodgers, J. D., ‘Some applications of generalised existence varieties’, Proceedings of the June 2005 Sydney University Semigroups Conference to appear.Google Scholar
[13]Rodgers, J. D., ‘Generalised e-varieties’, in preparation.Google Scholar
[14]Rodgers, J. D., ‘The lattice of e-pseudovarieties of finite regular semigroups’, in preparation.Google Scholar