n (algebra) A subset of the
Cartesian product of all the groups of an
inverse system, which subset is determined by the following criteria: (1) that, given that each element of the subset is itself a directed poset of "projected" group elements, that if any two such projected group elements relate through the ordering relation, then the "smaller" element should be a homomorphic projection of the "larger" element, where the homomorphism is the corresponding one from the inverse system; (2) that the subset be the largest one for which all of its elements satisfy the preceding property.