Noetherian ring

In mathematics, more specifically in the area of abstract algebra known as ring theory, a Noetherian ring is a ring that satisfies the ascending chain condition on left and right ideals; that is, given any increasing sequence of left (or right) ideals: there exists a natural number n such that: Noetherian rings are named after Emmy Noether.

Noetherian ring

In mathematics, more specifically in the area of abstract algebra known as ring theory, a Noetherian ring is a ring that satisfies the ascending chain condition on left and right ideals; that is, given any increasing sequence of left (or right) ideals: there exists a natural number n such that: Noetherian rings are named after Emmy Noether.