New posts in abstract-algebra

Is there a 'conjugation' on every algebraically closed field?

Does every group act faithfully on some group?

Is every prime element of a commutative ring "veryprime"?

What are the differences in mental skills required to master abstract algebra and analysis?? [closed]

Proving a commutative ring can be embedded in any quotient ring.

Example of a nontransitive action of $\operatorname{Aut}(K/\mathbb Q)$ on the roots in $K$ of an irreducible polynomial.

Do proper dense subgroups of the real numbers have uncountable index

"Non-linear" algebra

Source to learn Galois Theory

$G$ solvable $\implies$ composition factors of $G$ are of prime order.

Unramified primes of splitting field

Cyclotomic polynomial over a finite prime field [duplicate]

Trick to proving a group has exactly one idempotent element - Fraleigh p. 48 4.31

If $G$ is non-abelian group of order 6, it is isomorphic to $S_3$

Show that $x^2+y^2+z^2=999$ has no integer solutions

Is an ideal finitely generated if its radical is finitely generated?

Difficulty showing that a group $G$ applied on $X$, $G_x$ ($x \in X$) & $G_y$, w/ $y \in G(x)$ are same iff $G_x$ is a normal subgroup of $G$. [duplicate]

If $f\in\mathbb{Q}[X]$ and $f(\mathbb{Q})=\mathbb{Q}$ then $\deg f=1$

How to solve system of equations with mod?

Is the Axiom of Choice implicitly used when defining a binary operation on a quotient object?