Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.

Power series provide a technique for constructing examples of commutative rings. In this book, the authors describe this technique and use it to analyse propert

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

This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further a

Hilbert Functions play major roles in Algebraic Geometry and Commutative Algebra, and are becoming increasingly important also in Computational Algebra. They ca