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Alexei Pirkovskii
Alexei Pirkovskii
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The answers to the first two questions readily follow from Proposition 7.5.2 in [J. C. McConnelMcConnell and J. C. Robson, "Noncommutative Noetherian rings", AMS, 1987]. Actually, they prove a much more general result which holds for skew polynomial rings and skew Laurent polynomial rings. The base ring $R$ can be arbitrary, not necessarily commutative.

The answers to the first two questions readily follow from Proposition 7.5.2 in [J. C. McConnel and J. C. Robson, "Noncommutative Noetherian rings", AMS, 1987]. Actually, they prove a much more general result which holds for skew polynomial rings and skew Laurent polynomial rings. The base ring $R$ can be arbitrary, not necessarily commutative.

The answers to the first two questions readily follow from Proposition 7.5.2 in [J. C. McConnell and J. C. Robson, "Noncommutative Noetherian rings", AMS, 1987]. Actually, they prove a much more general result which holds for skew polynomial rings and skew Laurent polynomial rings. The base ring $R$ can be arbitrary, not necessarily commutative.

Source Link
Alexei Pirkovskii
Alexei Pirkovskii
  • 166
  • 1
  • 3

The answers to the first two questions readily follow from Proposition 7.5.2 in [J. C. McConnel and J. C. Robson, "Noncommutative Noetherian rings", AMS, 1987]. Actually, they prove a much more general result which holds for skew polynomial rings and skew Laurent polynomial rings. The base ring $R$ can be arbitrary, not necessarily commutative.