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Colimits and Tor

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Basic Homological Algebra

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 196))

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Abstract

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.

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© 2000 Springer Science+Business Media New York

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Osborne, M.S. (2000). Colimits and Tor. In: Basic Homological Algebra. Graduate Texts in Mathematics, vol 196. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1278-2_8

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  • DOI: https://doi.org/10.1007/978-1-4612-1278-2_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7075-1

  • Online ISBN: 978-1-4612-1278-2

  • eBook Packages: Springer Book Archive

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