A note on superassociative algebra of terms determined by singular mappings on a finite set

Journal article

Authors/Editors

Strategic Research Themes

Publication Details

Author list: Kumduang, Thodsaporn; Sriwongsa, Songpon;

Publication year: 2022

Volume number: 17

Issue number: 4

Start page: 1541

End page: 1546

Number of pages: 6

ISSN: 18140424

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85135084601&partnerID=40&md5=19155b0789593ca4823bea344987235b

Languages: English-Great Britain (EN-GB)

Abstract

In this paper, we study some classes of terms, called trees, which play a key role in both universal algebra and theoretical computer science. We introduce the concept of terms defined by singular transformations and provide some concrete examples. We also prove that the set of such terms together with an operation of type (n + 1) for a fixed natural number n defined on that set forms an algebra of type (n + 1) satisfying the axiom of superassociativity. © 2022. International Journal of Mathematics and Computer Science. All Rights Reserved.

Keywords

Singular mapping, Superassociativity, Superposition, Term