Definitions

1. adjective

relating to or named after Emmy Noether, a German mathematician who made major contributions to abstract algebra and theoretical physics.

“The mathematician’s theorem was a quintessential example of a noetherian concept in modern algebraic geometry.”

2. noun

a ring or algebraic structure that satisfies the ascending chain condition.

“The researcher studied noetherian rings to better understand their properties and applications in mathematics.”

3. noun

a module or algebraic object that satisfies the descending chain condition.

“The module was noetherian, meaning it had a finite length and could be used in various mathematical contexts.”