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Results tagged with projective-resolution
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user 4213
8
votes
Accepted
Projective dimension
No. A submodule of a free module need not have finite projective dimension.
As a simple example let $R=\mathbb{Z}/p^2\mathbb{Z}$. The free module $R$
has a submodule $p\mathbb{Z}/p^2\mathbb{Z}\cong\ma …
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