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@article{491139,
author = {Kunc, Michal},
article_location = {Les Ulis (Francie)},
article_number = {3},
keywords = {Pseudovariety; Pseudoidentity; Implicit operation; Variety of regular languages; Syntactic homomorphism},
language = {eng},
issn = {0988-3754},
journal = {RAIRO - Theoretical Informatics and Applications},
title = {Equational description of pseudovarieties of homomorphisms},
url = {http://www.edpsciences.org/articles/ita/abs/2003/03/ita0311/ita0311.html},
volume = {37},
year = {2003}
}
TY - JOUR
ID - 491139
AU - Kunc, Michal
PY - 2003
TI - Equational description of pseudovarieties of homomorphisms
JF - RAIRO - Theoretical Informatics and Applications
VL - 37
IS - 3
SP - 243
EP - 243
PB - EDP Sciences
SN - 09883754
KW - Pseudovariety
KW - Pseudoidentity
KW - Implicit operation
KW - Variety of regular languages
KW - Syntactic homomorphism
UR - http://www.edpsciences.org/articles/ita/abs/2003/03/ita0311/ita0311.html
N2 - 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 an example, an equational characterization of the pseudovariety corresponding to the class of regular languages in AC0 is given.
ER -
KUNC, Michal. Equational description of pseudovarieties of homomorphisms. \textit{RAIRO - Theoretical Informatics and Applications}. Les Ulis (Francie): EDP Sciences, 2003, roč.~37, č.~3, s.~243-254. ISSN~0988-3754.
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