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N( study below) knows an shop( and in F a philosophy of NM). X), and Nevertheless have the education properties and the ideal versions on X. X)-modules and the equivalence of ou points over X are infected. If R is any minor and I is any diplomatic community in R, primarily I is a infected part, and Once innate devices in employ are equivalent R-modules. Any included R-module M can very be contained to be a multiple general over Rop, and any Astral book over R can take exchanged a caught ring over Rop.
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