New posts in Maximal And Prime Ideals

"Drawing a Picture" of $\operatorname{Spec}(\mathbb{Z})$

In ZF, does the ring of continuous functions $C([0,1], \mathbb{R})$ have prime ideals which is not maximal?

In a finite commutative ring , every prime ideal is maximal?

$K$-valued functions on an infinite set

Norm of an element at a localization

Prove $(y-x^2)$ is a prime ideal in $\mathbb{R}[x,y]$, but not maximal.

Find all prime ideals in $\mathbb{Z}/n\mathbb{Z}$ where $n>1$

Prime ideals in $\mathbb{Z}[X], \mathbb{Q}[X], \mathbb{F}_{19}[X]$.

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

How can I show that the polynomial $t^n-x$ is irreducible in $F(x)[t]$?