(Mostly) commutative algebra
Material type:
TextSeries: UniversitextPublication details: Cham, Switzerland : Springer, 2021. Description: xv, 466 pages : 12 b/w illustrations, 6 illustrations in colourISBN: 9783030615949Subject(s): Commutative algebra | Rings | Ideals and divisibility | Galois theory | Tensor Products | Linear algebra | Homological algebra | Grothendieck's descentDDC classification: 512 Online resources: Table of content | Reviews Summary: 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.
| Item type | Current library | Call number | Status | Date due | Barcode |
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Book
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NISER LIBRARY | 512 CHA-M (Browse shelf(Opens below)) | Available | 25671 |
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| 512 BAR-H Higher algebra | 512 BER-H Higher algebra | 512 BIR-S Survey of modern algebra(A) | 512 CHA-M (Mostly) commutative algebra | 512 CHI-S Selected exercises in algebra : volume 1 | 512 COL-D Dynamical systems and linear algebra | 512 CON-C C-algebras Vol. 1:banach spaces |
Includes bibliographical references and index.
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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