On varieties of rational languages and variable length codes II

Stuart W. Margolis; Jean Eric Pin

doi:10.1016/0022-4049(86)90111-8

On varieties of rational languages and variable length codes II

Stuart W. Margolis
, Jean Eric Pin

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	233-253
Number of pages	21
Journal	Journal of Pure and Applied Algebra
Volume	41
Issue number	C
DOIs	https://doi.org/10.1016/0022-4049(86)90111-8
State	Published - 1986
Externally published	Yes

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10.1016/0022-4049(86)90111-8

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title = "On varieties of rational languages and variable length codes II",

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AB - 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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On varieties of rational languages and variable length codes II

Abstract

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