This is the second revised edition of an introduction to
contemporary relative homological algebra. It supplies important
material essential to understand topics in algebra, algebraic
geometry and algebraic topology. Each section comes with exercises
providing practice problems for students as well as additional
important results for specialists. In this new edition the authors
have added well-known additional material in the first three
chapters, and added new material that was not available at the time
the original edition was published. In particular, the major
changes are the following: Chapter 1: Section 1.2 has been
rewritten to clarify basic notions for the beginner, and this has
necessitated a new Section 1.3. Chapter 3: The classic work of D.
G. Northcott on injective envelopes and inverse polynomials is
finally included. This provides additional examples for the reader.
Chapter 11: Section 11.9 on Kaplansky classes makes volume one more
up to date. The material in this section was not available at the
time the first edition was published. The authors also have
clarified some text throughout the book and updated the
bibliography by adding new references. The book is also suitable
for an introductory course in commutative and ordinary homological
algebra.
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