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math.RA 1

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Rings whose subrings are all Noetherian or Artinian

math.RA · 2024-02-21 · unverdicted · novelty 6.0

Rings with all proper subrings right Noetherian are right Noetherian or trivial extensions of Z by Prüfer p-group; for Artinian subrings the ring is right Artinian or Z, with partial generalization to PI rings.

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  • Rings whose subrings are all Noetherian or Artinian math.RA · 2024-02-21 · unverdicted · none · ref 5

    Rings with all proper subrings right Noetherian are right Noetherian or trivial extensions of Z by Prüfer p-group; for Artinian subrings the ring is right Artinian or Z, with partial generalization to PI rings.