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The problem of freedom on certain subsemigroups of the submonoid of left singular languages 

Author: Cao Chunhua ab
Affiliations:   a Department of Mathematics, Yunnan University, Kunming, P.R. China
b Department of Mathematics, Zhongshan University, Guangzhou, P.R. China
DOI: 10.1080/00207160310001603271
Publication Frequency: 15 issues per year
Published in: journal International Journal of Computer Mathematics, Volume 81, Issue 2 February 2004 , pages 121 - 132
Number of References: 9
Formats available: PDF (English)
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Abstract

In this paper, we discuss the properties of LL' = lcubL' ∈ M|LL' ∈ Slrcub, where M is the monoid of languages and Sl is the set of left singular languages in M. The following result is proved: when|A| ≥ 2, for any LM, LL' is not free.
Keywords: Left singular language; Left singular word; Free semigroup
view references (9)
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