Spectral Lattices of reducible matrices over completed idempotent semifields
Francisco J. Valverde-Albacete, Carmen Peláez-Moreno · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · 2013
Abstract. Previous work has shown a relation between L-valued extensions of FCA and the spectra of some matrices related to L-valued contexts. We investigate the spectra of reducible matrices over completed idempotent semifields in the framework of dioids, naturally-ordered semirings, that encompass several of those extensions. Considering special sets of eigenvectors also brings out complete lattices in the picture and we argue that such structure may be more important than standard eigenspace structure for matrices over completed idempotent semifields. 1