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Publication
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| Title of Article |
A generalized superposition of linear tree languages
and products of linear tree languages |
| Date of Acceptance |
21 April 2017 |
| Journal |
| Title of Journal |
Asian-European Journal of Mathematics |
| Standard |
SCOPUS |
| Institute of Journal |
World Scientific Publishing Co. Pte. Ltd. |
| ISBN/ISSN |
1793-7183 |
| Volume |
10 |
| Issue |
11 |
| Month |
September |
| Year of Publication |
2018 |
| Page |
1-21 |
| Abstract |
A linear tree language of type τ is a set of linear terms, terms containing no multiple
occurrences of the same variable, of that type. Instead of the usual generalized superposition
of tree languages, we define the generalized linear superposition to deal with linear
tree languages and study its properties. Using this superposition, we define the product
of linear tree languages. This product is not associative on the collection of all linear tree
languages, but it is associative on some subsets of this collection whose products of any
element in the subsets are nonempty. We classify such subsets and study properties of
the obtained semigroup especially idempotent elements, regular elements, and Green’s
relations L and R. |
| Keyword |
linear tree languages, generalized superposition of linear tree languages, product of linear tree languages, idempotent elements, regular elements, Green's relations. |
| Author |
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| Reviewing Status |
มีผู้ประเมินอิสระ |
| Status |
ตีพิมพ์แล้ว |
| Level of Publication |
นานาชาติ |
| citation |
false |
| Part of thesis |
true |
| Attach file |
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| Citation |
0
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Journal Publication
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