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- Title
A note on superassociative algebra of terms determined by singular mappings on a finite set.
- Authors
Kumduang, Thodsaporn; Sriwongsa, Songpon
- 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.
- Subjects
UNIVERSAL algebra; ALGEBRA; NATURAL numbers; LIE superalgebras; FINITE, The; COMPUTER science
- Publication
International Journal of Mathematics & Computer Science, 2022, Vol 17, Issue 4, p1541
- ISSN
1814-0424
- Publication type
Article