Commuting map on semigroup of binary operations
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).
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.
Cite this article
I. Owusu-Mensah, Commuting map on semigroup of binary operations, J. Math. Comput. Sci. 15 (2025), 7. https://doi.org/10.28919/jmcs/9201
BibTeX
@article{Owusu-Mensah2025,
author = {Owusu-Mensah, Isaac},
title = {Commuting map on semigroup of binary operations},
journal = {J. Math. Comput. Sci.},
volume = {15},
year = {2025},
pages = {7},
doi = {10.28919/jmcs/9201}
}