Homological algebra is highly useful for algebraic topology, and is closely related to K-theory. In this work, an introduction on homological algebra and its applications is given in a form similar to the standard first course in K-theory
Homological algebra has become essential in several areas of algebra and mathematical logic, such as algebraic topology, algebraic geometry, non-commutative algebra, homological algebra and K-theory. The present book, along with the earlier companion volumes by the same author, provides a clear and systematic exposition of homological algebra from a modern point of view. All the theorems and proofs are illustrated by numerous examples and exercises.
An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics, Series Number 38)
- Cambridge University Press
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- Springer
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