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math635
  • Member for 9 years, 11 months
  • Last seen more than 3 years ago
11 votes
Accepted

Prove that $R\cong \mathbb{C}^n$

8 votes
Accepted

What does it mean for a sequence of sheaves to be exact

5 votes
Accepted

prove that $(a-b)(c-d)+(a-c)(b-d)+(d-a)(b-c) \geq 0$.

5 votes
Accepted

How to calculate Probability in this case

4 votes
Accepted

What is the proof for $\sqrt{-a}\times\sqrt{-b}\neq\sqrt{ab},\text{ where }a,b\in \mathbb{R}$

4 votes

$\mathbb{C}$ is not the splitting field of any polynomial over $\mathbb{Q}$ (without cardinality)

4 votes

Find all $ z \in {\mathbb C} $ such that $z^{12}=1 $ and $ 1+z+z^2+z^3+z^4+z^5 \in {\mathbb R} $

4 votes
Accepted

Irreducible polynomial over $\mathbb{Q}$ can not have repeated root in $\mathbb{C}$

3 votes
Accepted

Density In The Theorem/Proof of The Stone-Weierstrass Theorem

3 votes

Show that the difference between the greatest and the least of them is not less than $\sqrt{a^2-3b}$ nor greater than $2\sqrt{a^2-3b}$

3 votes

Prove that for any positive integer $n$, the fractional part of $\sqrt{4n^2+n}$ is smaller than $\frac{1}{4}$.

3 votes

What does vector mean in Linear Algebra?

3 votes

If a matrix has a unique left inverse then does it necessarily have a unique right inverse (which is the same inverse)?

3 votes

How many ways a 9 digit number can be formed using the digits 1 t0 9 without repetition such that it is divisble by $11$.

3 votes
Accepted

Proper ideal $I \implies \exists $ prime ideals $P_i$ such that $P_1 \cdots P_n \subset I$.

2 votes

A problem in decomposing a p group into direct sum of nontrivial subgroups

2 votes
Accepted

Exercise 6.79 from Rotman's Advanced Modern Algebra

2 votes

Is the derivative of $x^2 + C$?

2 votes
Accepted

Looking for fast text-books

2 votes

How to proof that a field is complete order field?

1 vote

Integration of a square root inside another square root function.

1 vote

Complex number in quadratic equation

1 vote

Transformation. Geometry.

1 vote

Must $f: \mathbb{Z} \to \mathbb{R}_{\geq 0}$ (monotone non-decreasing) be constant if $\frac{f(n-1) + f(n+1)}{2} \leq f(n)$ for all $n$?

1 vote

What's $\lim\limits_{n\to\infty} \frac{x^n}{y^n + 1}$

1 vote
Accepted

Weak Hilbert Nullstellensatz to show the bijection $Z(I)\overset{\simeq}{→} \left\{\text{maximal ideals in }A/I\right\}$.

1 vote
Accepted

Proof: if $n > 1$ then $LD(n) $ is a prime number

1 vote

A polynomial that vanishes at one point but not at finitely many others.

1 vote

Problem in Divisibility and Functions

1 vote
Accepted

Prove: the function $g$ has a global minimum in $\mathbb{R}$