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finite semigroup

Proceedings of the Edinburgh Mathematical Society (1)

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Idempotent-generated semigroups and pseudovarieties
Part of
- Semigroups
J. Almeida, A. Moura
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 54 / Issue 3 / October 2011

Published online by Cambridge University Press:

20 June 2011, pp. 545-568
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The operator that constructs the pseudovariety generated by the idempotent-generated semi-groups of a given pseudovariety is investigated. Several relevant examples of pseudovarieties generated by their idempotent-generated elements are given, as well as some properties of this operator. Particular attention is paid to the pseudovarieties in {J, R, L, DA} concerning this operator and their generator ranks and idempotent-generator ranks.