“School of Mathematics”
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| Paper IPM / M / 465 |
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| Abstract: | |
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Let R be a commutative Noetherian ring, and N a non-zero finitely
generated R-module. In this paper, the main result asserts that
N is locally unmixed if and only if, for any N-proper ideal
\frak a of R generated by ht N \frak a
elements, the topology defined by (\frak a N)(n),n ≥ 0, is equivalent to the \frak a -adic topology.
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