2 research outputs found
A Class of Congruencies on Distributive Semilattice
No full textIn this paper we, contribute the notation of natural epimorphism of a semilattice on the quotient semilattice and subsemilattice. If S is distributive semilattice and F is a filter of S, then we demonstrate that θF is the smallest congruence on S containing F in a single equivalence class and that S/θF is distributive. In addition, the author proved that map FθF is an isomorphism from the lattice of F0(S) all non-empty filters of S into a permutable sublattice of the lattice C(S) of all congruencies on S
Una clase de congruencias en semirretículo distributivo
No full textIn this paper we, contribute the notation of natural epimorphism of a semilattice on the quotient semilattice and subsemilattice. If S is distributive semilattice and F is a filter of S, then we demonstrate that θF is the smallest congruence on S containing F in a single equivalence class and that S/θF is distributive. In addition, the author proved that map FθF is an isomorphism from the lattice of F0(S) all non-empty filters of S into a permutable sublattice of the lattice C(S) of all congruencies on S.En este trabajo contribuimos con la notación del epimorfismo natural de una semirredura sobre el cociente semirreticulado y subsemretículo. Si S es una semirrejilla distributiva y F es un filtro de S, entonces demostramos que θF es la congruencia más pequeña en S que contiene F en una sola clase de equivalencia y que S/θF es distributiva. Además, el autor demostró que el mapa FθF es un isomorfismo de la red F0(S) de todos los filtros no vacíos de S en una subred permutable de la red C(S) de todas las congruencias en S
