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Titlebook: Introduction to Ring Theory; P. M. Cohn Textbook 2000 P.M.Cohn.FRS 2000 Group theory.SUMS.Vector space.algebra.ring theory

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发表于 2025-3-21 17:23:58 | 显示全部楼层 |阅读模式
书目名称Introduction to Ring Theory
编辑P. M. Cohn
视频videohttp://file.papertrans.cn/475/474137/474137.mp4
概述Paul Cohn is a well-known expositor and expert in the field.This book follows on from the SUMS book "Groups, Rings and Fields" by David Wallace.Includes supplementary material:
丛书名称Springer Undergraduate Mathematics Series
图书封面Titlebook: Introduction to Ring Theory;  P. M. Cohn Textbook 2000 P.M.Cohn.FRS 2000 Group theory.SUMS.Vector space.algebra.ring theory
描述Most parts of algebra have undergone great changes and advances in recent years, perhaps none more so than ring theory. In this volume, Paul Cohn provides a clear and structured introduction to the subject..After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product. Tensor product and rings of fractions, followed by a description of free rings. The reader is assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.
出版日期Textbook 2000
关键词Group theory; SUMS; Vector space; algebra; ring theory
版次1
doihttps://doi.org/10.1007/978-1-4471-0475-9
isbn_softcover978-1-85233-206-8
isbn_ebook978-1-4471-0475-9Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightP.M.Cohn.FRS 2000
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发表于 2025-3-21 21:18:13 | 显示全部楼层
Introduction to Ring Theory978-1-4471-0475-9Series ISSN 1615-2085 Series E-ISSN 2197-4144
发表于 2025-3-22 01:08:08 | 显示全部楼层
Noetherian Rings,Throughout mathematics there are many examples of Noetherian rings, starting with the integers, and in this chapter we shall describe some of the most important classes, polynomial rings and rings of algebraic integers, as well as some of their properties, the Euclidean algorithm and unique factorization.
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Linear Algebras and Artinian Rings,pendent interest. It is usually subsumed under the topic of Artinian rings, since many of the proofs carry over to this class. This chapter brings the main results of the theory, the Wedderburn theorems, and explains the role of the radical, and as an application, includes a brief introduction to group representations.
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General Rings,ects of the general theory which will help the reader to understand the basic concepts. Their inclusion is justified by the fact that they are usually only found in specialist accounts but do not require extensive background knowledge.
发表于 2025-3-22 23:57:41 | 显示全部楼层
P. M. CohnPaul Cohn is a well-known expositor and expert in the field.This book follows on from the SUMS book "Groups, Rings and Fields" by David Wallace.Includes supplementary material:
发表于 2025-3-23 01:43:53 | 显示全部楼层
Springer Undergraduate Mathematics Serieshttp://image.papertrans.cn/i/image/474137.jpg
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