Cohen-Macaulay homological dimensions
Keyword(s):
We introduce new homological dimensions, namely the Cohen-Macaulay projective, injective and flat dimensions for homologically bounded complexes. Among other things we show that (a) these invariants characterize the Cohen-Macaulay property for local rings, (b) Cohen-Macaulay flat dimension fits between the Gorenstein flat dimension and the large restricted flat dimension, and (c) Cohen-Macaulay injective dimension fits between the Gorenstein injective dimension and the Chouinard invariant.
2017 ◽
Vol 10
(03)
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pp. 1750048
2007 ◽
Vol 35
(6)
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pp. 1882-1889
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2003 ◽
Vol 132
(5)
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pp. 1279-1283
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2009 ◽
Vol 137
(07)
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pp. 2201-2207
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2014 ◽
Vol 42
(5)
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pp. 2181-2194
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Keyword(s):
2019 ◽
Vol 19
(09)
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pp. 2050174
2018 ◽
Vol 61
(4)
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pp. 865-877
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