Order ideals and a generalized Krull height theorem
نویسندگان
چکیده
منابع مشابه
Order ideals and a generalized Krull height theorem
Let N be a finitely generated module over a Noetherian local ring (R,m). We give criteria for the height of the order ideal N∗(x) of an element x ∈ N to be bounded by the rank of N . The Generalized Principal Ideal Theorem of Bruns, Eisenbud and Evans says that this inequality always holds if x ∈ mN . We show that the inequality even holds if the hypothesis becomes true after first extending sc...
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Let N be a finitely generated module over a Noetherian local ring (R,m). We give criteria for the height of the order ideal N∗(x) of an element x ∈ N to be bounded by the rank of N . The Generalized Principal Ideal Theorem of Bruns, Eisenbud and Evans says that this inequality always holds if x ∈ mN . We show that the inequality even holds if the hypothesis becomes true after first extending sc...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2004
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-004-0513-6