Functors Between Module Categories

  • Frank W. Anderson
  • Kent R. Fuller
Part of the Graduate Texts in Mathematics book series (GTM, volume 13)


it should now be clear that the structure of the category R M determines to a significant extent the structure of the ring R. Thus in this chapter we turn to the direct studies of these categories R M. Our starting point will be the study of certain natural “functors” or “homomorphisms” between pairs of these categories.


Direct Summand Natural Transformation Projective Module Module Category Injective Module 
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Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • Frank W. Anderson
    • 1
  • Kent R. Fuller
    • 2
  1. 1.Department of MathematicsUniversity of OregonEugeneUSA
  2. 2.Department of MathematicsUniversity of IowaIowa CityUSA

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