(mostly) commutative algebra [Documento eletrónico] / by Antoine Chambert-Loir
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer, 2021Description: XV, 466 p. : il.ISBN: 978-3-030-61595-6.Series: UniversitextSubject - Topical Name: Algebra | Commutative algebra | Commutative rings | Algebraic fields | Polynomials | Algebras, Linear | Algebra, Homological | Algebraic geometry Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA150.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96645 |
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.
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