The opposite of a commutative Noetherian ring #
Right modules over a ring A are modules over Aᵐᵒᵖ, so categories of finitely generated right
modules ask for IsNoetherianRing Aᵐᵒᵖ. For a commutative ring, RingEquiv.toOpposite
identifies A with Aᵐᵒᵖ, and this file records the resulting instance, so that the right
Noetherian hypothesis is found automatically for commutative Noetherian rings.
The opposite of a commutative Noetherian semiring is Noetherian.