Reticulation of a 0-distributive Lattice
Y. S. Pawar · Czech digital mathematics library · 2015
summary:A congruence relation $\theta $ on a 0-distributive lattice is defined such that the quotient lattice $L/\theta $ is a distributive lattice and the prime spectrum of $L$ and of $L/\theta $ are homeomorphic. Also it is proved that the minimal prime spectrum (maximal spectrum) of $L$ is homeomorphic with the minimal prime spectrum (maximal spectrum) of $L/\theta $.