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Results tagged with projective-modules
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user 17218
For questions about projective modules over a ring and projective objects in related categories.
6
votes
Is every locally free module of rank $1$ over a commutative ring concretely invertible?
This is a partial answer of a more general problem.
If $A$ is a commutative ring with few zerodivisors (which holds iff $\text{Quot}(A)$ is semilocal), then the answer is yes: in that case, an invert …
- 4,985
1
vote
Bézout ring with non-trivial Picard group?
This is only a partial answer, but it's too long to fit in the comments.
For any (commutative) ring $R$, there is a canonical inclusion $\text{Cl}(R) \longrightarrow \text{Pic}(R)$, where $\text{Cl}(R …
- 4,985