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8 Answers

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17	How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?
3	Why over $\mathbb{Z}/n\mathbb{Z}$ projectivity, injectivity and flatness coincide for cyclic modules?
3	For a polynomial $A$, there are no chains of ideals containing $AR$ of length larger than the degree of $A$
3	Showing that $\wedge^2 \operatorname{Frac}(I) = 0$ where $I$ is an integral domain
2	How to derive the limits of $\sum_{k=0}^\infty k q^k$ and $\sum_{k=0}^\infty k^2 q^k$ for $\|q\| < 1$ without using differentiation/integration?

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410 Reputation

+30	Why over $\mathbb{Z}/n\mathbb{Z}$ projectivity, injectivity and flatness coincide for cyclic modules?
+10	Flatness over Jacobson ring
+10	How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?
+5	Flatness versus vanishing of Tor-groups for a non-finitely generated module

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3 Questions

votes activity newest

4	Non-vanishing of derivative hypothesis in l'Hospital's rule
3	Flatness versus vanishing of Tor-groups for a non-finitely generated module
2	Flatness over Jacobson ring

13 Tags

19 calculus × 4	6 ring-theory × 2
17 limit	4 commutative-algebra × 4
17 homework	3 modules
17 trigonometry	3 tensor-products
6 abstract-algebra × 2	2 sequences-and-series

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