Let RE Q` be the subring consisting of polynomials } = dot a12t . + and` such that do EI . Given a subgroup A in O ( viewed as an abelian...

Prove that the ring R is not Noetherian. Prove that the ring R is not Noetherian. Prove that the ring R is not Noetherian. Prove that the ring R is not Noetherian.

5 . Let RE Q` be the subring consisting of polynomials } = dot a12t . .. + and`"such that do EI . Given a subgroup A in O ( viewed as an abelian group viaaddition ) , consider the subset I CR consisting of polynomials ajax t ... + and`such that aj EA.