COUNTING THE RELATIONS COMPATIBLE WITH AN ALGEBRA
Brian Davey, Jane G. Pitkethly · International Journal of Algebra and Computation · 2010
We investigate when a finite algebra admits only a finite number of compatible relations (modulo a natural equivalence). This finiteness condition is closely related to others in the literature, and arises naturally in duality theory. We find necessary conditions for a finite algebra to admit only finitely many compatible relations, as well as a family of examples of such algebras.