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Titlebook: (Mostly) Commutative Algebra; Antoine Chambert-Loir Textbook 2021 Springer Nature Switzerland AG 2021 Commutative Algebra.Rings.Ideals and

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期刊全称(Mostly) Commutative Algebra
影响因子2023Antoine Chambert-Loir
视频video
发行地址Very well written text, with good, motivational examples and exercises, both somewhat theoretical as well as more practical, calculatory.Includes many well-chosen exercises (of different degrees of di
学科分类Universitext
图书封面Titlebook: (Mostly) Commutative Algebra;  Antoine Chambert-Loir Textbook 2021 Springer Nature Switzerland AG 2021 Commutative Algebra.Rings.Ideals and
影响因子.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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Margret Liehn,Hannelore Schlautmannpe of proving Fermat’s Last Theorem! — tried to make use of unique factorization in rings where it didn’t hold. Ideals are one device that was then invented to gain a better understanding of divisibility. In this context, there are two natural analogues of prime numbers, namely maximal and prime ide
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https://doi.org/10.1007/978-3-642-34008-6Rings, the definition of which is the subject of this chapter, are algebraic objects in which one can compute as in classical contexts, integers, real numbers or matrices: one has an addition, a multiplication, two symbols 0 and 1, and the usual computation rules are satisfied.
发表于 2025-3-23 08:29:41 | 显示全部楼层
Ge Zhu,Feifei Yang,Tingting ChenOne aspect of commutative algebra is to not only consider modules over a given fixed ring, but also morphisms of (commutative) rings.
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