σ-Ideals in a 0-1 distributive lattice
Y. S. Pawar, S. S. Khopade · Asian-European Journal of Mathematics · 2015
The notion of a [Formula: see text]-ideal in a [Formula: see text]-[Formula: see text] distributive lattice is introduced and studied. Certain classes of [Formula: see text]-[Formula: see text] distributive lattices such as normal lattices, complemented lattices, generalized Stone lattices are characterized by using the properties of [Formula: see text]-ideals. Stable ideals are defined and a necessary and sufficient condition for a [Formula: see text]-ideal to be stable is given.