New posts in Ring Theory

Showing that $\frac{\mathbb{R}[x]}{\langle x \rangle}$ and $\frac{\mathbb{R}[x]}{\langle x-1 \rangle}$ are not isomorphic as $\mathbb{R}[x]$ modules.

Ideal of $\mathbb{Z}[x]$ generated by $3$ and $x^2+1$ is proper

Is $(a)/(a^2)\cong R/(a)$, or something else? ; For ideals $(a), (a^2)\leq R$

Prove a ring isomorphism of stalks

List of small rings

Is $\mathbb{Z}[x]/\langle 4,x^2+x+1 \rangle$ a field?

Show that an ideal of the ring of integers of a real number field is not principal

"distributive property" vs. "ring homomorphism": comparing definitions

Do we really need $X$ to be compact Hausdorff?

Showing existence of irreducible polynomial of degree 3 in $\mathbb{F}_p$