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Malcev completion of free groups

Here is a proof that the statement is, as you expected, false (for $n\ge 2$), in case the field $K$ is $\mathbf{R}$ or $\mathbf{C}$. Unfortunately it does not give anything explicit. Let $B$ be its cl …
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12 votes
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Can an intersection of ideals in a Noetherian ring be replaced by a countable intersection?

Yes it's true. First, in a (commutative) noetherian ring $A$, every chain of ideals is well-ordered by reverse inclusion. The supremum of ordinal types of such chains is denoted $o(A)$. A particula …
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