Rings and Modules

  • Siegfried Bosch
Part of the Universitext book series (UTX)


The chapter is devoted to discussing some basic notions and results on rings and their modules. Except for a few preliminary considerations, all rings are meant to be commutative and to admit a unit element. The subjects that are covered include ideals and radicals, the localization process for rings and modules, various finiteness conditions and, as technical tools, Nakayama’s Lemma and the Snake Lemma.


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Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  • Siegfried Bosch
    • 1
  1. 1.Mathematisches InstitutWestfälische Wilhelms-UniversitätMünsterGermany

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