COUNTING THE RELATIONS COMPATIBLE WITH AN ALGEBRA Academic Article uri icon

abstract

  • 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.

publication date

  • November 2010