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International Journal of Computer Mathematics Volume 81, 2004 - Issue 2
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Original Articles

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

Cao Chunhua Yunnan University, Department of Mathematics, Kunming, P.R. China; Zhongshan University, Department of Mathematics, Guangzhou, P.R. ChinaCorrespondence[email protected]
Pages 121-132 | Received 24 Jan 2003, Published online: 12 May 2010
 
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Abstract

In this paper, we discuss the properties of ℒ L ′ = {L′ ∈ M|LL′ ∈ S l }, where M is the monoid of languages and S l is the set of left singular languages in M. The following result is proved: when|A| ≥ 2, for any L ∈ M, ℒ L ′ is not free.

Acknowledgements

The research of the author is supported by a NSF(China) grant # 10071068 and a Yunnan University Youth Foundation # 2002Q017SL. The author thanks her supervisor, Professor Y. Q. Guo, for his guidance and help.

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