Structure of genera of representations of nonsemisimple rings

  • Yu. A. Drozd


The investigation of integral representations of arbitrary rings is shown to be equivalent to the case of orders in semisimple algebras. An example is constructed showing that, for an order in a nonsemisimple algebra, the number of representations in the genus may increase without limit with varying genera.


Integral Representation Arbitrary Ring 
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Copyright information

© Consultants Bureau, a division of Plenum Publishing Corporation 1972

Authors and Affiliations

  • Yu. A. Drozd
    • 1
  1. 1.Kiev State UniversityUSSR

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