Commuting map on semigroup of binary operations

Isaac Owusu-Mensah

Abstract

This paper explores the algebraic structure of the magma monoid (M(S), /), where M(S) comprises all binary operations on S. We investigate the notion of the center of the monoid and introduce a commuting map τ for each element ∗∈M(S). Furthermore, we characterize the commuting maps for all commutative elements in M(S).

How to Cite this Article

Isaac Owusu-Mensah, Commuting map on semigroup of binary operations, J. Math. Comput. Sci., 15 (2025), Article ID 7. https://doi.org/10.28919/10.28919/jmcs/9201

Copyright © 2025 Isaac Owusu-Mensah. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.