Depth - Pure Mathematics - Algebra Dictionary Definition An invariant of a module (or local ring) given by the length of a maximal regular sequence contained in a given ideal or the maximal length of nonzerodivisor sequences; it measures nondegeneracy of relations.
Depth - Pure Mathematics - Algebra Dictionary Definition An invariant of a module (or local ring) given by the length of a maximal regular sequence contained in a given ideal or the maximal length of nonzerodivisor sequences; it measures nondegeneracy of relations.