On Flat and Gorenstein Flat Dimensions of Local Cohomology Modules
2016 ◽
Vol 59
(2)
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pp. 403-416
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Keyword(s):
AbstractLet a be an ideal of a Noetherian local ring R and let C be a semidualizing R-module. For an R-module X, we denote any of the quantities fdR X, GfdR X and GC-fdR X by T(X). Let M be an R-module such that for all i ≠ n. It is proved that if T(M) < ∞, then , and the equality holds whenever M is finitely generated. With the aid of these results, among other things, we characterize Cohen–Macaulay modules, dualizing modules, and Gorenstein rings.
2015 ◽
Vol 22
(spec01)
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pp. 935-946
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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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2009 ◽
Vol 79
(1)
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pp. 59-67
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1991 ◽
Vol 110
(3)
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pp. 421-429
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2009 ◽
Vol 80
(2)
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pp. 244-250
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2013 ◽
Vol 56
(3)
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pp. 491-499
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