LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	512
Title	(Mostly) Commutative Algebra ([EBook] /) / by Antoine Chambert-Loir.
Author	Chambert-Loir, Antoine
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2021.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2021.
Physical Details	XV, 466 p. 18 illus., 6 illus. in color. : online resource.
Series	Universitext 2191-6675
ISBN	9783030615956
Summary Note	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.:
Contents note	Preface -- 1 Rings -- 2 Ideals and divisibility -- 3 Modules -- 4 Field extensions -- 5 Modules over principal ideal rings -- 6 Noetherian and artinian rings. Primary decomposition -- 7 First steps in homological algebra -- 8 Tensor products and determinants -- 9 Commutative algebra: the normalization theorem, dimension theory, Dedekind rings -- Appendix -- References -- Index.-.
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-61595-6
Links to Related Works	Subject References: Algebra . Algebra, Homological . Algebraic fields . Algebraic Geometry . Algebras, Linear . Category Theory, Homological Algebra . Commutative algebra . Commutative rings . Commutative Rings and Algebras . Field Theory and Polynomials . Linear Algebra . Polynomials . Authors: author . Chambert-Loir, Antoine . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 512 .

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(Mostly) Commutative Algebra

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