Abstract
One of the main objectives of the algebraic theory of regular languages concerns the classification of regular languages based on Eilenberg's variety theorem [10]. This theorem states that there exists a bijection between varieties of regular languages and varieties of finite monoids. For example, the variety of star-free regular languages (the closure of finite languages under Boolean operations and concatenation) is related to the monoid variety of aperiodic monoids (those with no nontrivial subgroups)[21]. © 2009 Springer Berlin Heidelberg.
Cite
CITATION STYLE
Beaudry, M., & Lemieux, F. (2009). Faithful loops for aperiodic e-ordered monoids (Extended Abstract). In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5556 LNCS, pp. 55–66). https://doi.org/10.1007/978-3-642-02930-1_5
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