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topspin1617

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3 Answers

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3
 Suppose $G$ Abelian and $f:G\rightarrow \Bbb Z$ is surjective with kernel K. Show $G \cong H + K$ where $H \cong \Bbb Z$
2
 Small question about limits
1
 equivalence of 2 limits

162 Reputation

+25 Hartshorne Proposition II.6.5
+15 Hartshorne Lemma I.6.5; Why is $\mathfrak{m}_R\cap B\neq 0$?
+45 Suppose $G$ Abelian and $f:G\rightarrow \Bbb Z$ is surjective with kernel K. Show $G \cong H + K$ where $H \cong \Bbb Z$
+15 equivalence of 2 limits
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3 Questions

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5
 Hartshorne Proposition II.6.5
5
 Compute $\lim_{n\to\infty}\int_0^n \left(1+\frac{x}{2n}\right)^ne^{-x}\,dx$.
3
 Hartshorne Lemma I.6.5; Why is $\mathfrak{m}_R\cap B\neq 0$?

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abelian-groups
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limit × 2
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calculus
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integral
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algebraic-geometry × 2
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schemes
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commutative-algebra

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