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Mathematics

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earned this badge 15 times.
Find an integral basis of $\mathbb{Q}(\alpha)$ where $\alpha^3-\alpha-4=0$
Awarded May 11 at 17:10
A finite field extension that is not simple
Awarded Apr 8, 2023 at 13:21
How to find all the ideals of a given norm?
Awarded Oct 27, 2022 at 2:11
What are the irreducible representations of the cyclic group $C_n$ over a real vector space $V$?
Awarded Apr 14, 2022 at 15:18
Is there a pattern of the factorization of a polynomial modulo $p$ as $p$ varies
Awarded Apr 3, 2022 at 19:04
Borel $\sigma$ algebra on a topological subspace. [duplicate]
Awarded Oct 22, 2021 at 16:07
A Banach space is reflexive if a closed subspace and its quotient space are both reflexive
Awarded Jan 5, 2021 at 14:50
Given a point $x$ and a closed subspace $Y$ of a normed space, must the distance from $x$ to $Y$ be achieved by some $y\in Y$?
Awarded Oct 2, 2020 at 3:58
Factorize $(9+11\sqrt{-5})$ as a product of prime ideals in $\mathcal{O}_K$ where $K=\mathbb{Q}(\sqrt{-5})$
Awarded May 3, 2019 at 12:20
On every infinite-dimensional Banach space there exists a discontinuous linear functional.
Awarded Sep 14, 2017 at 19:19
If $A$ an integral domain contains a field $K$ and $A$ over $K$ is a finite-dimensional vector space, then $A$ is a field. [duplicate]
Awarded Jul 15, 2017 at 19:55
What is the probability that a random $n\times n$ bipartite graph has an isolated vertex?
Awarded Mar 21, 2017 at 18:33
Galois group of $X^5 - X^3 - 2X^2 - 2X - 1$ over $\mathbb{Q}$.
Awarded May 30, 2016 at 18:17
Existence of independent and identically distributed random variables.
Awarded Mar 29, 2013 at 7:30
For a graph $G$, why should one expect the ratio $\text{ex} (n;G)/ \binom n2$ to converge?
Awarded Dec 27, 2012 at 8:17

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