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Localization in Non-Commutative Noetherian Rings

Localization in Non-Commutative Noetherian Rings

To construct a well behaved localization of a noetherian ring R at a semiprime ideal S, it seems necessary to assume that the set (S) of modulo S regular elements satisfies the Ore condition ; and it is convenient to require the Artin Rees property for the Jacobson radical of …