### Answers (19)

 7 Shorter proof of irrationality of $\sqrt{2}$? 6 Prove that if $\left\{ x_{n}\right\}$ converges then $\left\{ \left(x_{n}\right)^{2}\right\}$ converges. 5 Constructing an Infinite Family of Graphs 5 Is $\operatorname{Frac}(\bigcap_{i \in I}R_i)=K$ when each $R_i$ is integrally closed and $\operatorname{Frac}(R_i)=K$? 3 Finding the generating function to split $n$ into odd parts

### Reputation (727)

 +5 Prime factor of $A=14^7+14^2+1$ +5 Is this polynomial solvable by radicals?3 +2 Does the coproduct $\mathbb{Z}_n\amalg\mathbb{Z}_n$ exists in the category of $\textbf{Rings}$? +5 Does the coproduct $\mathbb{Z}_n\amalg\mathbb{Z}_n$ exists in the category of $\textbf{Rings}$?

### Questions (14)

 4 A bounded function in $\Bbb R$ with closed graph is continuous. 4 An isomorphism between the fields $\mathbb{Q}(e)$ and $\mathbb{Q}(\pi)$ 3 Finding the integral closure of $k[x]$ in $k(x)(\sqrt{f})$, where $f(x)=x^6+tx^5+t^2x^3+t\in k[x]$. 3 Is there a non trivial normal subgroup of a group $G$, where $|G|=pm, \ \gcd(p,m)=1$? 3 $\mathbb Z[\frac{2+i}{5}]\cap \mathbb Q =\mathbb Z$

### Tags (52)

 10 elementary-number-theory × 5 7 rationality-testing 9 sequences-and-series × 3 7 divisibility 8 abstract-algebra × 6 6 real-analysis × 2 7 radicals × 2 6 convergence 7 prime-factorization 5 algebraic-number-theory

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