Ideal extensions of ordered sets.
Ideals in distributive posets
We prove that any ideal in a distributive (relative to a certain completion) poset is an intersection of prime ideals. Besides that, we give a characterization of n-normal meet semilattices with zero, thus generalizing a known result for lattices with zero.
Ideals of weakly associative lattices and pseudo-ordered sets
Indexed annihilators in ordered sets
Inevitability in diamond processes
Infimum and supremum completeness properties of ordered sets without axioms.
Invariant semigroups of othodox semigroups.
Irreducible elements of posets