Abstract
When we described the elements of Extn(C, A) as long exact sequences from A to C we supposed that A and C were left modules over a ring. We could equally well have supposed that they were right modules, bimodules, or graded modules. An efficient formulation of this situation is to assume that A and C are objects in a category with suitable properties: One where morphisms can be added and kernels and cokernels constructed. The first three sections of this chapter are devoted to the description of such “abelian” categories.
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© 1995 Springer-Verlag Berlin Heidelberg
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Mac Lane, S. (1995). Relative Homological Algebra. In: Homology. Classics in Mathematics, vol 114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-62029-4_10
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DOI: https://doi.org/10.1007/978-3-642-62029-4_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-58662-3
Online ISBN: 978-3-642-62029-4
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