Resumen de Idempotent operators on a finite chain

Margarita Mas Grimalt, Joan Torrens Sastre, Tomasa Calvo Sánchez, Marc Carbonell Huguet

• This work is devoted to find and study some possible idempotent operators on a finite chain L. Specially, all idempotent operators on L which are associative, commutative and non-decreasing in each place are characterized. By adding one smoothness condition, all these operators reduce to special combinations of Minimum and Maximum.