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### Questions (105)

 15 Examples of non-isomorphic fields with isomorphic group of units and additive group structure 13 Explicit Derivation of Weierstrass Normal Form for Cubic Curve 12 Differentiable functions satisfying $f'(f(x))=f(f'(x))$ 12 On prime factors of $n^2+1$ 12 An example of a commutative ring in which every primary ideal is prime

### Reputation (4,578)

 +10 relation between units and non zero divisors in a ring +5 Dimension of $\mathbb{Q}\otimes_{\mathbb{Z}} \mathbb{Q}$ as a vector space over $\mathbb{Q}$ +10 Chartrand Mathematical Proofs 3e Exercise 5.22 +5 Integral extensions of rings, when one of the rings is a field

 15 Does there exist a field which has infinitely many subfields? 12 Positive integral solutions of $3^x+4^y=5^z$ 8 Prove that $xy+yz+zx \leq x^2+y^2+z^2$ 7 Let $G$ be a finite group, $ord(G)=p^2$ ($p$ is a prime) prove that there is a subgroup of order $p$ in $G$ 7 Show that $\frac{1}{2}-\frac{1}{2e}<\int_0^{+\infty}e^{-x^2}dx<1+\frac{1}{2e}$

### Tags (103)

 97 abstract-algebra × 93 20 inequality × 6 33 group-theory × 27 18 finite-groups × 13 28 real-analysis × 34 15 calculus × 9 25 field-theory × 11 13 modules × 8 21 ring-theory × 18 12 commutative-algebra × 22

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