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Results tagged with projective-resolution
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user 15934
4
votes
Different ways of having infinite global dimension
This doesn't quite answer the question but shows that the real question is for an example where all cyclic modules have finite but unbounded projective dimension. So I will leave this here.
In https …
- 38.6k
4
votes
When does $FP_n(R)$ imply $F_n$?
The paper https://link.springer.com/article/10.1007/BF02804017 shows there are $\mathbb Q$-acyclic $k$-dimensional simplicial complexes with a complete $k-1$-skeleton and $\binom{n-1}{k}$ $k$-simplice …
- 38.6k
3
votes
Accepted
Extensions of $G$-modules parametrized by $H^1$
The correct version of your statement is the following. Let $K$ be a commutative ring and suppose that $V,W$ are (left) $KG$-modules with $V$ finitely generated projective over $K$. Then $$\mathrm{E …
- 38.6k