INVERTIBLE IDEALS AND NON-COMMUTATIVE ARITHMETICS: Communications in Algebra: Vol 29, No 12

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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.

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INVERTIBLE IDEALS AND NON-COMMUTATIVE ARITHMETICS

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