On the cofiniteness of Artinian local cohomology modules
2016 ◽
Vol 15
(04)
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pp. 1650070
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Keyword(s):
Let [Formula: see text] be a commutative Noetherian local ring, which is a homomorphic image of a Gorenstein local ring and [Formula: see text] an ideal of [Formula: see text]. Let [Formula: see text] be a nonzero finitely generated [Formula: see text]-module and [Formula: see text] be an integer. In this paper we show that, the [Formula: see text]-module [Formula: see text] is nonzero and [Formula: see text]-cofinite if and only if [Formula: see text]. Also, several applications of this result will be included.
2019 ◽
Vol 18
(12)
◽
pp. 1950238
2015 ◽
Vol 22
(spec01)
◽
pp. 935-946
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2009 ◽
Vol 79
(1)
◽
pp. 59-67
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2016 ◽
Vol 59
(2)
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pp. 403-416
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1991 ◽
Vol 110
(3)
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pp. 421-429
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2009 ◽
Vol 80
(2)
◽
pp. 244-250
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