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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
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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 …
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krull dimension [closed]
im looking for a non-noetherian ring with infinite krull dimension.would you help?