Galois

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36 Questions

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10	$\sum a_n$ converges absolutely, does $\sum (a_n + \cdots + a_n^n)$ converge
8	Showing a homomorphism of a field algebraic over $\mathbb{Q}$ to itself is an isomorphism.
8	Showing a UFD which is not a PID must have a nonprincipal maximal ideal.
6	Showing a subset of $C([0,1])$ is compact.
6	Can $ABA-BAB=I$?

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748 Reputation

+5	$\sum a_n$ converges absolutely, does $\sum (a_n + \cdots + a_n^n)$ converge
+10	Limit of a sequence involving root of a factorial: $\lim_{n \to \infty} \frac{n}{ \sqrt [n]{n!}}$
+5	How to compute $\int_{\partial D\left(0,1\right)}\frac{\overline{z}}{z-w}dz$.
+5	Counterexample to Fubini?

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2 Answers

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5	Limit of a sequence involving root of a factorial: $\lim_{n \to \infty} \frac{n}{ \sqrt [n]{n!}}$
4	Showing the intersection of maximal ideals is not prime.

19 Tags

5 sequences-and-series × 6	0 real-analysis × 15
5 limit	0 analysis × 9
5 factorial	0 abstract-algebra × 7
5 convergence	0 complex-analysis × 3
4 ring-theory × 5	0 field-theory × 3

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