in commutative algebra, a sequence of elements of a commutative ring that is “as independent as possible” in a precise sense; the algebraic analogue of the geometric notion of a complete intersection
Article · 日本語
数学、特に可換環論において正則列（せいそくれつ、英: regular sequence）とは、不定元のように振る舞う可環環の元の列のことである。例えば、係数環 R を持つ多項式環 R[X1, ..., Xn] において X1, ..., Xn は正則列である。
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International Standard Book Number
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digital object identifier
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Alexander Grothendieck
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Nicolas Bourbaki
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cauchy sequence
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module
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commutative algebra
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commutative ring
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Springer Science+Business Media
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polynomial ring
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Mathematical Reviews
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noetherian ring
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quotient ring
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local ring
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Krull dimension
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spectrum of a ring
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David Eisenbud
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regular local ring
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graded ring
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localization of a ring
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