(Mostly) Commutative Algebra
Antoine Chambert-Loir
(Mostly) Commutative Algebra
Antoine Chambert-Loir
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English
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Description
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.
“This book on commutative algebra is more accessible for undergraduate student than the classical introductory books on this topic. … The author has made a special effort in explaining carefully the definitions and presenting many clarifying examples. … Each chapter ends with a large selection of exercises of different levels. … This book is a gentle introduction … that it will very useful for students and teachers in this area. Moreover, it suggests several new directions for deeper study.” (Blas Torrecillas, zbMATH 1477.13001, 2022)
“This book on commutative algebra is more accessible for undergraduate student than the classical introductory books on this topic. … The author has made a special effort in explaining carefully the definitions and presenting many clarifying examples. … Each chapter ends with a large selection of exercises of different levels. … This book is a gentle introduction … that it will very useful for students and teachers in this area. Moreover, it suggests several new directions for deeper study.” (Blas Torrecillas, zbMATH 1477.13001, 2022)
Antoine Chambert-Loir (1971- ) is Professor of Mathematics at Université de Paris. He previously taught at the École normale supérieure, University Pierre-et-Marie-Curie, École polytechnique, University of Rennes and Université Paris-Sud. Besides coauthoring a 3-volume book of exercises in analysis, his books include A Field Guide to Algebra and, as co-author, the prize-winning Motivic Integration.
His current research is in arithmetic geometry.