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(Mostly) Commutative Algebra

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	(Mostly) Commutative Algebra/ by Antoine Chambert-Loir.
作者:	Chambert-Loir, Antoine.
面頁冊數:	XV, 466 p. 18 illus., 6 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Algebraic Geometry. -
電子資源:	https://doi.org/10.1007/978-3-030-61595-6
ISBN:	9783030615956

(Mostly) Commutative Algebra
Chambert-Loir, Antoine.

(Mostly) Commutative Algebra[electronic resource] /by Antoine Chambert-Loir. - 1st ed. 2021. - XV, 466 p. 18 illus., 6 illus. in color.online resource. - Universitext,2191-6675. - Universitext,.

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.-.

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.

ISBN: 9783030615956

Standard No.: 10.1007/978-3-030-61595-6doiSubjects--Topical Terms:

670184
Algebraic Geometry.

LC Class. No.: QA150-272

Dewey Class. No.: 512

(Mostly) Commutative Algebra
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