New posts in abstract-algebra

Category theory, a branch of abstract algebra?

Constructive proof of the existence of an algebraic closure

A group of order $p^2q^2$ is never simple

A formula for the radical of $\mathbb{Z}/n\mathbb{Z}$.

$R$ module homomorphisms between two modules

Is the center of a ring an ideal?

Inverting $a+b\sqrt{2}$ in the field $\Bbb Q(\sqrt{2})$

Group abelianization

What is the intuition behind defining this isomorphism?

Order of general linear group of $2 \times 2$ matrices over $\mathbb{Z}_3$

Writing a GCD of two numbers as a linear combination

A book for abstract algebra with high school level

Proof of Wilson's Theorem using concept of group.

What is the exact definition of "induced homomorphism"?

Proof that $x^4+1$ is irreducible over $\mathbb{Q}$

Prove the irreducibility of $P(x)$ which satisfies: $xP(x-1)=(x-2022)P(x)+2022$

How to show that if $G$ is union of three proper subgroups, then there is an epimorphism from $G$ to the Klein 4-group?

Connections between number theory and abstract algebra.

Brauer group of a field of rational numbers

Origin of the modern definition of the tensor product