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A topological approach to a conjecture of Rhodes

Published online by Cambridge University Press:  17 April 2009

J.E. Pin
J.E. Pin
Affiliation:
L.I.T.P., Tour 55–65, Université Paris VI, 75252 Paris, Cedex 05, France
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Abstract

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The “type II conjecture”, proposed by J. Rhodes, gives an algorithm to compute the kernel of a given finite semigroup. We show that this conjecture is a consequence of another conjecture, of a topological nature. This new conjecture gives a simple and effective characterisation of the recognisable subsets of a free monoid that are closed in the finite group topology for the free monoid.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 3 , December 1988 , pp. 421 - 431
Copyright
Copyright © Australian Mathematical Society 1988

References

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