These lectures provides detailed introductions to some of the latest advances in three significant areas of rapid development in commutative algebra and its app

First Published in 2018. This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of produci

Commutative algebra is at the crossroads of algebra, number theory and algebraic geometry. This textbook is affordable and clearly illustrated, and is intended

This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutio

This book describes the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology, and combinatorics.