Buchsbaum ring

id: buchsbaum-ring-286-14786820
title: Buchsbaum ring
text: In mathematics, Buchsbaum rings are Noetherian local rings such that every system of parameters is a weak sequence. A sequence of the maximal ideal m is called a weak sequence if m ⋅ ⊂ for all i . 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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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Buchsbaum_ring
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date modified: 2023-08-12T22:40:27Z
main entity: {"identifier":"Q4982735","url":"https://www.wikidata.org/entity/Q4982735"}
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