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List of homological algebra topics

 Home Mathematics Fields of mathematics Fields of abstract algebra Homological algebra
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Homological algebra is a branch of mathematics that studies homology in a variety of contexts, primarily within the field of algebra. Its applications span across various areas of mathematics, including algebraic topology, algebraic geometry, and representation theory. Below is a list of some key topics and concepts within homological algebra: 1. **Chain Complexes**: Structures consisting of a sequence of abelian groups (or modules) connected by boundary maps.

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