Introspective Study of Homological algebra

A Beginner's Guide to Homological Algebra: An Introduction for Intermediate and Advanced Mathematicians

We provide an introductory guide for advanced undergraduate and first year graduate math students to homological algebra, covering the necessary centraltopics to later delve deeper into more complex aspects of homological algebraand beyond.We begin by presenting the notion of chain complexes of algebraic structures, and move into exploring homology modules and chain homotopies.We then move into exploring projective resolutions and finally enter the world of category theory by looking at tor functors.