Mostly Commutative Algebra
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(Mostly) Commutative Algebra
Author: Antoine Chambert-Loir
language: en
Publisher: Springer Nature
Release Date: 2021-04-08
This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At that level, students have already followed a basic course in linear algebra and are essentially fluent with the language of vector spaces over fields. The topics introduced include arithmetic of rings, modules, especially principal ideal rings and the classification of modules over such rings, Galois theory, as well as an introduction to more advanced topics such as homological algebra, tensor products, and algebraic concepts involved in algebraic geometry. More than 300 exercises will allow the reader to deepen his understanding of the subject. The book also includes 11 historical vignettes about mathematicians who contributed to commutative algebra.
Basic Commutative Algebra
This textbook, set for a one or two semester course in commutative algebra, provides an introduction to commutative algebra at the postgraduate and research levels. The main prerequisites are familiarity with groups, rings and fields. Proofs are self-contained. The book will be useful to beginners and experienced researchers alike. The material is so arranged that the beginner can learn through self-study or by attending a course. For the experienced researcher, the book may serve to present new perspectives on some well-known results, or as a reference.
Combinatorial Commutative Algebra
Author: Ezra Miller
language: en
Publisher: Springer Science & Business Media
Release Date: 2005-06-21
Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs