The nucleus of a lattice


Miloš Kurilić




The set of all the reducible elements of a lattice $L$, denoted by $K(L)$ is considered, and its properties in connection with sublattices, morphisms and products. The class $\mathcal K$ of all the lattices such that $K(L)=L$ is not an equational class. Every lattice can be embedded in some element of $\mathcal K$.