Newbetuts

In an extension of finitely generated $k$-algebras the contraction of a maximal ideal is also maximal

Ideals in $F[x]$ and Euclidean domains are generated by any element of minimal degree

Finitely many prime ideals lying over $\mathfrak{p}$

An ideal that is maximal among non-finitely generated ideals is prime.

Explaining the product of two ideals

What is the algebraic structure of functions with fixed points?

Maximal ideal in the ring of continuous functions from $\mathbb{R} \to \mathbb{R}$

Is quotient of a ring by a power of a maximal ideal local?

If $\mathop{\mathrm{Spec}}A$ is not connected then there is a nontrivial idempotent

Ideals of $\mathbb{Z}[X]$

Why is the localization at a prime ideal a local ring?

Is $\mathbb{Z}[x]$ a principal ideal domain?

Intuition behind "ideal"

Why are ideals more important than subrings?

Complement of maximal multiplicative set is a prime ideal

New posts in ideals

Maximal ideals in the ring of real functions on $[0,1]$ [closed]

An integral domain whose every prime ideal is principal is a PID

Height and minimal number of generators of an ideal

The ideal $I= \langle x,y \rangle\subset k[x,y]$ is not principal [closed]

Prove that the ideal $(X_1-a_1,...,X_n-a_n)$ is maximal in $K[X_1,\dots,X_n]$

In an extension of finitely generated $k$-algebras the contraction of a maximal ideal is also maximal

Ideals in $F[x]$ and Euclidean domains are generated by any element of minimal degree

Finitely many prime ideals lying over $\mathfrak{p}$

An ideal that is maximal among non-finitely generated ideals is prime.

Explaining the product of two ideals

What is the algebraic structure of functions with fixed points?

Maximal ideal in the ring of continuous functions from $\mathbb{R} \to \mathbb{R}$

Is quotient of a ring by a power of a maximal ideal local?

If $\mathop{\mathrm{Spec}}A$ is not connected then there is a nontrivial idempotent

Ideals of $\mathbb{Z}[X]$

Why is the localization at a prime ideal a local ring?

Is $\mathbb{Z}[x]$ a principal ideal domain?

Intuition behind "ideal"

Why are ideals more important than subrings?

Complement of maximal multiplicative set is a prime ideal