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Results tagged with projective-resolution
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user 5292
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Projective dimension
Is it true that if a module has a free resolution of length $d$ then any of its submodule has a free resolution of length $\leq d$?
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Is it true that if $\operatorname{Ext}^{1}_{A}(P,A/I)=0 $ for all $ I$ then $P$ is projective?
Is it true that if $\operatorname{Ext}^{1}_{A}(P,A/I)=0$ forall $I$ then $P$ is projective?
Similar statements are true for flat and injective modules, but I'm beginning to suspect that projective …
- 2,857