Top Local Cohomology Modules with Specified Attached Primes
Keyword(s):
Let (R, 𝔪) be a complete Noetherian local ring and let M be a finite R-module of positive Krull dimension n. It is shown that any subset T of Assh R(M) can be expressed as the set of attached primes of the top local cohomology module [Formula: see text] for some ideal 𝔞 of R. Moreover, if 𝔞 is an ideal of R such that the set of attached primes of [Formula: see text] is a non-empty proper subset of Assh R(M), then [Formula: see text] for some ideal 𝔟 of R with dim R(R/𝔟) = 1.
2009 ◽
Vol 79
(1)
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pp. 59-67
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2019 ◽
Vol 18
(12)
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pp. 1950238
2016 ◽
Vol 15
(04)
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pp. 1650070
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2015 ◽
Vol 22
(spec01)
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pp. 935-946
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