Definition:Lattice Ideal

Definition
Let $\struct {S, \vee, \wedge, \preceq}$ be a lattice.

Let $I \subseteq S$ be a non-empty subset of $S$.

Also see

 * User:Leigh.Samphier/OrderTheory/Equivalence of Definitions of Lattice Ideal


 * Definition:Ideal (Order Theory)


 * User:Leigh.Samphier/OrderTheory/Definition:Ideal (Join Semilattice)