I need a simple Noetherian domain which is not a division ring.
I do know that this ring must not be Artinian, since otherwise it would be a division ring. Thanks in advance!
2026-03-25 20:08:30.1774469310
Simple Noetherian domain which is not a division ring
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The Weyl algebra is a Noetherian domain which is a non-commutative ring, and is not a division ring.