复合体局部上同模的附加素数

IF 0.3 4区数学 Q4 MATHEMATICS

Journal of Commutative Algebra Pub Date : 2023-03-01 DOI:10.1216/jca.2023.15.75

Nguyen Minh Tri

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引用次数: 0

摘要

．设(R, m)是一个局部环，Z是Spec R和X的专门化闭子集，是一个具有有限生成同调和有限维数的R -复形。我们证明了Att R H dim X Z (X) = {p∈Supp R X | cd(Z, R/ p)−inf X p = dim R X}。我们还对R -模复形的Lichtenbaum-Hartshorne消失定理进行了推广。

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ATTACHED PRIMES OF LOCAL COHOMOLOGY MODULES OF COMPLEXES

. Let ( R, m ) be a local ring, Z a specialization closed subset of Spec R and X an R -complex with ﬁnitely generated homology and ﬁnite dimension. We show that Att R H dim X Z ( X ) = { p ∈ Supp R X | cd( Z , R/ p ) − inf X p = dim R X } . We also represent a generalization of Lichtenbaum-Hartshorne Vanishing Theorem for complexes of R -modules.

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来源期刊

Journal of Commutative Algebra MATHEMATICS-

CiteScore

0.80

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Commutative Algebra publishes significant results in the area of commutative algebra and closely related fields including algebraic number theory, algebraic geometry, representation theory, semigroups and monoids. The journal also publishes substantial expository/survey papers as well as conference proceedings. Any person interested in editing such a proceeding should contact one of the managing editors.