Special homological dimensions and intersection theorem
Keyword(s):
Let $(R,m)$ be commutative Noetherian local ring. It is shown that $R$ is Cohen-Macaulay ring if there exists a Cohen-Macaulay finite (i.e. finitely generated) $R$-module with finite upper Gorenstein dimension. In addition, we show that, in the Intersection Theorem, projective dimension can be replaced by quasi-projective dimension.
2008 ◽
Vol 3
(1)
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pp. 165-203
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1975 ◽
Vol 59
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pp. 149-152
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2018 ◽
Vol 168
(2)
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pp. 305-322
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2013 ◽
Vol 56
(3)
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pp. 491-499
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2018 ◽
Vol 17
(11)
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pp. 1850202
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Keyword(s):
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2016 ◽
Vol 16
(09)
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pp. 1750163
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