Buchsbaum ring

In mathematics, Buchsbaum rings are Noetherian local rings such that every system of parameters is a weak sequence.
A sequence formula_1 of the maximal ideal formula_2 is called a weak sequence if formula_3 for all formula_4.
They were introduced by and are named after David Buchsbaum.
Every Cohen–Macaulay local ring is a Buchsbaum ring. Every Buchsbaum ring is a generalized Cohen–Macaulay ring.