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TauCeti.RingTheory.Noetherian.MulOpposite

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.