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The notion of pseudovarieties of homomorphisms onto finite monoids was recently introduced by Straubing as an algebraic characterization for certain classes of regular languages. In this paper we provide a mechanism of equational description of these pseudovarieties based on an appropriate generalization of the notion of implicit operations. We show that the resulting metric monoids of implicit operations coincide with the standard ones, the only difference being the actual interpretation of pseudoidentities....
The notion of pseudovarieties of homomorphisms onto finite monoids
was recently introduced by Straubing as an algebraic characterization
for certain classes of regular languages.
In this paper we provide a mechanism of equational description
of these pseudovarieties based on an appropriate
generalization of the notion of implicit operations.
We show that the resulting metric monoids of implicit operations
coincide with the standard ones,
the only difference being the actual interpretation of pseudoidentities.
As...
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