Bouc, SergeThévenaz, Jacques2021-11-152021-11-152021-11-15202210.1007/s11083-021-09588-xhttps://infoscience.epfl.ch/handle/20.500.14299/183022We give a direct construction of a specific central idempotent in the endomorphism algebra of a finite lattice T. This idempotent is associated with all possible sublattices of T which are totally ordered. A generalization is considered in a conjectural fashion and proved experimentally to hold in many cases.posetlatticetotal orderidempotentIdempotents in the endomorphism algebra of a finite latticetext::journal::journal article::research article