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For questions about sheaves on a topological space.
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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 …