“School of Mathematics”
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| Paper IPM / M / 7698 |
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Let (R,\frakm) be a Noetherian local ring. Consider
the notion of homological dimension of a module, denoted
H-dim, for H=Reg, CI, CI* G, G* or CM. We prove that, if
for a finite R-Module M of positive depth,
H-dimR(\frakmiM) is finite for some i ≥ reg(M), then
the ring R has property H.
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