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Titlebook: Basic Homological Algebra; M. Scott Osborne Textbook 2000 Springer Science+Business Media New York 2000 Adjoint functor.Homological algeb

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Martin Goodman MD,David A. Geller MDIn what follows, .. We shall use the following notation, with . (or .) being a ring:
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Michele Valiante,Paola GrammaticoA 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.
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Pathology of Hepatocellular CarcinomaThis section uses material from Chapters 1 and 2.
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Categories,Homological algebra addresses questions that appear naturally in category theory, so category theory is a good starting point. Most of what follows is standard, but there are a few slippery points.
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Derived Functors,The purpose of this chapter and the next is to generalize the earlier constructions of Ext and Tor. In this chapter, functors beyond Horn and ⊗ will be applied to projective (and injective) resolutions in .. In the next chapter, these constructions will be carried out in more general categories.
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