![](/images/graphics-bg.png)
On the Syntactic Monoids Associated with a Class of Synchronized Codes
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-24
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
A complete code C over an alphabet A is called synchronized if there exist x,y∈C* such that xA*∩A*y⊆C*.
In this paper we describe the syntactic monoid Syn(C+) of C+ for a complete synchronized code C over A such that C+, the semigroup generated by C, is a single class of its syntactic congruence PC+.
In particular, we prove that, for such a code C, either C=A or Syn(C+) is isomorphic to a special submonoid of ?l(I)×?r(Λ), where ?l(I) and ?r(Λ) are the full transformation semigroups on the nonempty sets I and Λ, respectively.
American Psychological Association (APA)
Wang, Shou-feng. 2013. On the Syntactic Monoids Associated with a Class of Synchronized Codes. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1033201
Modern Language Association (MLA)
Wang, Shou-feng. On the Syntactic Monoids Associated with a Class of Synchronized Codes. The Scientific World Journal No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-1033201
American Medical Association (AMA)
Wang, Shou-feng. On the Syntactic Monoids Associated with a Class of Synchronized Codes. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1033201
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033201