“School of Mathematics”
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| Paper IPM / M / 8010 |
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| Abstract: | |||||
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Let (R, \frak m) be a Noetherian local ring of depth d and C
a semidualizing R-complex. Let M be a finite R-module and
t an integer between 0 and d. If GC-dimension of M/\fraka M is finite for all ideals \frak a generated by an
R-regular sequence of length at most d−t then either
GC-dimension of M is at most t or C is a dualizing
complex. Analogous results for other homological dimensions are
also given.
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