I was curious as to what the proper prerequisites would be to be able to properly read through Rotman's text "An Introduction to Homological Algebra". I'm wondering if Module theory is part of the prerequisites. Also considering the length of Rotman's Text what chapters would be the best to cover to get to homology theory and Ext and Tor?
2026-03-30 21:44:48.1774907088
Prerequisites for Rotman's Introduction to Homological Algebra
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Just fetched the first edition (hardbound, 1979) off the shelf: On the fourth page (out of 376) you will find "Recall that a left $R$-module is an ...", furthermore the first section in Chapter 2 is entitled "Modules". Thus modules are not supposed to be prerequisites.
J. J. Rotman explicitly addresses the fastest way towards Homology in "How to read this book" (this section is contained in the second edition of the book), namely skipping chapters 2 to 5, but he does not recommend it. A sort of triple jump touching chapter 1, chapter 2, and the projective and injective ingredients in chapter 3 may be a satisfactory path for you.