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For questions about sheaves on a topological space.

3 votes
1 answer
128 views

Infinite uniform dimension $\Rightarrow$ infinitely many idempotents in a localization of a ...

Let $R$ be a commutative ring with $1$ such that its uniform dimension is infinity, equivalently, $$\sup\{k \mid R \text{ contains a direct sum of $k$ nonzero ideals }\}=\infty.$$ How can we construc …