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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.

1 vote
1 answer
776 views

injectivity is a local property over noetherian rings [closed]

Let $R$ be a commutative noetherian ring, and let $M$ be an $R$-module. How I can show that if any localization $M_p$ at a prime ideal $p$ of the ring $R$ is injective over $R_p$, then $M$ is injectiv …
sasha's user avatar
  • 15
0 votes
1 answer
227 views

krull dimension [closed]

im looking for a non-noetherian ring with infinite krull dimension.would you help?
sasha's user avatar
  • 15