Notes on Self-Commuting Functions on a Finite Set (Algebras, logics, languages and related areas)
Hajime Machida, Ivo G. Rosenberg · Institutional Repositories DataBase (IRDB) · 2018
A multi-variable function is said to be sclf-commuting if it commutes with itself. As the first step toward the characterization of self-commuting functions defined on a finite set this article studies very basic facts on them. We restrict our attention to self-commuting and conservative binary functions. Such functions on a three-element set are characterized and some examples of such functions on arbitrary finite set are presented.