#Noethember Day 20

A Noetherian ring is a ring with some extra properties – in particular, one that satisfies the ascending chain condition on left and right ideals. This means a sequence of nested ideals, each of which sits inside the previous, cannot continue getting smaller forever. If a ring has this property, it immediately follows that it has many other useful properties. Rational numbers, real numbers and complex numbers (and in fact all fields) are examples of Noetherian rings.

Image by Constanza Rojas-Molina (https://twitter.com/Coni777)