Abstract
This article is a continuation of the work of the second author on the connections between the theory of varieties of languages and the theory of codes. We show that every variety of languages closed under concatenation product is described by its finite prefix codes. We also consider the operation which associates to any variety of monoids V the variety V. W generated by all semidirect products of a monoid of V by a monoid of W, for various varieties W, and we describe the corresponding operation on varieties of languages.
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