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bfhaha
  • Member for 10 years, 4 months
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43 votes
Accepted

How does Dummit and Foote's abstract algebra text compare to others?

17 votes

Interpreting Line Integrals with respect to $x$ or $y$

13 votes

Galois group of an irreducible polynomial

9 votes

Union of the conjugates of a proper subgroup

6 votes

Let $E$ be an algebraic extension of $F$. If every polynomial in $F[x]$ splits in $E$, show that $E$ is algebraically closed.

5 votes

Show that the intersection of any two distinct Sylow $2$-subgroups of $G$ has order $8$

4 votes

Books on Rings without Identity

4 votes

Proofs of the structure theorem for finitely generated modules over a PID

4 votes

Ring of integers is a PID but not a Euclidean domain

4 votes

For a symmetric matrix, the geometric and algebraic multiplicities are equal

4 votes
Accepted

Retrieving information about $G$ from $G/H$ for a subgroup $H$ of $G$.

3 votes

Intuition behind isomorphism of algebraic varieties

3 votes

Showing two ring homomorphisms that agree on the integers must agree on the rationals

3 votes

Proof of Leibniz formula from Laplace expansion

3 votes

Describe (briefly) the ring structure of the following rings and their characteristics: $\mathbb{Z[x]}/(2)$.

3 votes

$\mathbb{Q}[x,y]/\langle x^2+y^2-1 \rangle$ is an integral domain, and its field of fractions is isomorphic to $\mathbb Q(t)$

3 votes

The Intution Behind Real Symmetric Matrices and Their Real Eigenvectors

3 votes

A property of finite field of order $2^n$

3 votes

Any finite ring is a direct sum of rings of prime power order

2 votes

How to prove that a reduced Gröbner basis for $I\subset K(\mathbf t)[\mathbf x]$ is still a Gröbner basis under $\mathbf t\mapsto\mathbf a$?

2 votes

Let $G$ be a finite abelian group and $H$ be a subgroup of $G$. Then there is an epimorphism from $G$ to $H$.

2 votes

Computation of the minimal polynomial of a matrix in Mathematica

2 votes

Let $F$ be a field of characteristic $p$ and let $f(x)=x^p-a\in F[x].$ Show that $f(x)$ is irreducible over $F$ or $f(x)$ splits in $F.$

2 votes

$\mathrm{Aut}(D_4)$ is isomorphic to $D_4$

2 votes

irreducible representation extending as projection onto matrix algebra

2 votes

What is the good way to remember the signs of the rotational matrix?

2 votes

Construction of free abelian group from free group

2 votes

Errata for Hungerford's Algebra

1 vote

Is there a $0$ in the Smith Normal Form?

1 vote

Ring of polynomials over a field has infinitely many primes