New posts in Abstract Algebra

Every ring homomorphism to the integers is surjective?

Which "known" ring is $K = \frac{\mathbb{Z}_5[X,Y]}{(Y-X^2, XY + Y + 2)}$ isomorphic to?

The Automorphism Group $\Gamma(\mathbb{Q}(\sqrt[n]{2}):\mathbb{Q})$ is trivial if $n$ is odd.

Let $G$ be a group with $|G|=102 ( = 2 \cdot 3 \cdot 17)$, with $|Z(G)| = 2$. Prove the following:

The group of additive sequences of integers

Multiplying a ring(or an ideal) by an element.

$ G/H \cong K $ and $ G/K \cong H\implies G \cong H \times K $

Are all commutative, associative binary operations isomorphic to addition?

Why is left multiplication on a group bijective?

How to show this particular $4 \times 4$ matrix is positive definite?