When a quotient of a distributive lattice is a boolean algebra
Hasan Barzegar · arXiv (Cornell University) · 2019
In this article, we introduce a lattice congruence with respect to a nonempty ideal $I$ of a distributive lattice $L$ and a derivation $d$ on $L$ denoted by $θ_I^d$. We investigate some necessary and sufficient conditions for the quotient algebra $L/θ_I^d$ to become a Boolean algebra.