Colimits and Tor

  • M. Scott Osborne
Part of the Graduate Texts in Mathematics book series (GTM, volume 196)


Of the two functors defined in Chapter 3, Ext is the more “universal”; Section 6.6 describes how Tor can, in principle at least, be defined using Ext. On the other hand, Tor has more properties. Up to now, this has only been reflected in the fact that Tor mixes rightR -modules with left R -modules. But there’s more. Tor behaves well with respect to certain colimits, and that is the general subject of this chapter.


Commutative Diagram Free Module Inverse Limit Covariant Functor Left Adjoint 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • M. Scott Osborne
    • 1
  1. 1.Department of MathematicsUniversity of WashingtonSeattleUSA

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