Antoine Chambert-Loir Knihy

Targeted at advanced university students, this book builds on foundational knowledge in linear algebra to explore key concepts in commutative algebra. It covers the arithmetic of rings and modules, focusing on principal ideal rings and their module classification. Additionally, it delves into Galois theory and introduces more complex topics like homological algebra, tensor products, and connections to algebraic geometry, making it a comprehensive resource for students aiming to deepen their understanding of algebraic structures.