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Original Articles

INVERTIBLE IDEALS AND NON-COMMUTATIVE ARITHMETICS

Pages 5673-5686 | Received 01 Jun 2000, Published online: 16 Aug 2006
 

Abstract

We give an approach to arithmetics of noetherian rings R based upon the Picard group Pic(R). This leads to an extension of classical and new results and avoids difficulties concerning non-commutative localization.

Acknowledgments

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