| Title of Article |
Semigroups of an inductive composition of terms |
| Date of Acceptance |
10 March 2021 |
| Journal |
| Title of Journal |
Asian-European Journal of Mathematics |
| Standard |
SCOPUS |
| Institute of Journal |
World Scientific Publishing Co. Pte Ltd |
| ISBN/ISSN |
1793-5571, 1793-7183 |
| Volume |
|
| Issue |
15 |
| Month |
|
| Year of Publication |
2022 |
| Page |
|
| Abstract |
The set of all n-ary terms of type τ together with a binary operation derived from a
superposition Sn forms various forms of semigroups. One may generalize such binary
operation by deriving it from an inductive composition of terms and call it an inductive
product. However, this operation is not associative on the same base set but it becomes
associative when all elements of subterms of a fixed term used in an inductive product
except itself are excluded from the base set. Hence, a semigroup is formed. In this
paper, we mainly focus on the algebraic structures of this semigroup such as idempotent
elements, elements associating with each type of regularity condition, and Green’s
relations. The formulae of complexity of inducted terms are also under investigation. |
| Keyword |
Terms; inductive composition of terms; inductive product of terms; complexity of terms; idempotent elements; regular elements; Green’s relations. |
| Author |
|
| 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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Publication
Journal Publication
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