In mathematics, Buchsbaum rings are Noetherian local rings such that every system of parameters is a weak sequence.
of the maximal ideal
is called a weak sequence if
They were introduced by Jürgen Stückrad and Wolfgang Vogel (1973) and are named after David Buchsbaum.
Every Cohen–Macaulay local ring is a Buchsbaum ring.
Every Buchsbaum ring is a generalized Cohen–Macaulay ring.
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