This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and Auslander-Buchsbaum. The approach is v

The goal of this book is to present local class field theory from the cohomo logical point of view, following the method inaugurated by Hochschild and developed

The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified

This is an English translation of the now classic "Algbre Locale - Multiplicits" originally published by Springer as LNM 11. It gives a short account of the mai

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