Algebras of (\alpha,\beta)-commutative functions

International journal of mathematics and computer science 2026 Open access

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Authors: Thodsaporn Kumduang
DOI: 10.69793/ijmcs/01.2026/thodsaporn
Cited by: 0

Abstract

In this work, we present a novel concept of (\alpha,\beta)-commutative multiplace functions on a nonempty set A. We prove a representation theorem which provides conditions under which any superassociative algebra is homomorphic to an algebra of (\alpha,\beta)-commutative functions. We describe automorphisms between pairs of (\alpha,\beta)-commutative functions.

Fields of Study & Subjects

Advanced Algebra and Logic Fuzzy and Soft Set Theory Advanced Topics in Algebra

Publication details

Journal / source
International journal of mathematics and computer science
Pages
145–149
Publication date
1 January 2026
Language
EN