Abstract
A close look at much of the earlier material, especially in the last chapter, reveals the strong connection between projectives and injectives. The idea is this: Formulate your result purely in terms of arrows (morphisms), then reverse them. That is, work in the opposite category. Not everything can be done this way, but a surprising amount can.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media New York
About this chapter
Cite this chapter
Osborne, M.S. (2000). Abstract Homological Algebra. In: Basic Homological Algebra. Graduate Texts in Mathematics, vol 196. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1278-2_7
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1278-2_7
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