Homotopy Type Theory ideal (ring theory) > history (Rev #3)

Definition

An ideal of a ring $R$ is an $R$-$R$-bimodule $I$ with a monic $R$-$R$-bimodule homomorphism $i:I \to R$.

See also

• commutative ring

• bimodule

• bimodule homomorphism

• principal ideal?

• finitely generated ideal?

• prime ideal?

• irreducible ideal?