#commutative-algebra

13. Commutative Algebra

This volume studies commutative rings, ideals, modules, and their structural properties. It forms the algebraic foundation for algebraic geometry and number theory. Part I. Rings and Ideals Chapter 1. Commutative Rings 1.1 Definitions and examples 1.2 Ring homomorphisms 1.3 Subrings and quotient rings 1.4 Units and zero divisors 1.5 Basic constructions Chapter 2. Ideals 2.1 Definition and examples 2.2 Prime and maximal ideals 2.3 Operations on ideals 2.4 Ideal quotient...