Exercises in Basic Ring Theory by Grigore Calugareanu: New

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Características del artículo

Estado
Nuevo: Libro nuevo, sin usar y sin leer, que está en perfecto estado; incluye todas las páginas sin ...
Book Title
Exercises in Basic Ring Theory
Publication Date
1998-02-28
Pages
200
ISBN
9780792349181
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Product Identifiers

Publisher
Springer Netherlands
ISBN-10
0792349180
ISBN-13
9780792349181
eBay Product ID (ePID)
187098

Product Key Features

Number of Pages
Xiv, 200 Pages
Language
English
Publication Name
Exercises in Basic Ring Theory
Publication Year
1998
Subject
Algebra / Abstract, Topology, Algebra / General
Type
Textbook
Subject Area
Mathematics
Author
Grigore Calugareanu, Peter Hamburg
Series
Texts in the Mathematical Sciences Ser.
Format
Hardcover

Dimensions

Item Weight
38.1 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
97-046746
Dewey Edition
21
Series Volume Number
20
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
512/.4/076
Table Of Content
I Exercises.- 1 Fundamentals.- 2 Ideals.- 3 Zero Divisors.- 4 Ring Homomorphisms.- 5 Characteristics.- 6 Divisibility in Integral Domains.- 7 Division Rings.- 8 Automorphisms.- 9 The Tensor Product.- 10 Artinian and Noetherian Rings.- 11 Socle and Radical.- 12 Semisimple Rings.- 13 Prime Ideals, Local Rings.- 14 Polynomial Rings.- 15 Rings of Quotients.- 16 Rings of Continuous Functions.- 17 Special Problems.- II Solutions.- 1 Fundamentals.- 2 Ideals.- 3 Zero Divisors.- 4 Ring Homomorphisms.- 5 Characteristics.- 6 Divisibility in Integral Domains.- 7 Division Rings.- 8 Automorphims.- 9 The Tensor Product.- 10 Artinian and Noetherian Rings.- 11 Socle and Radical.- 12 Semisimple Rings.- 13 Prime Ideals, Local Rings.- 14 Polynomial Rings.- 15 Rings of Quotients.- 16 Rings of Continuous Functions.- 17 Special problems.
Synopsis
Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins with simple notions and simple results. Our intention was to provide a collection of exercises which cover only the easy part of ring theory, what we have named the "Basics of Ring Theory". This seems to be the part each student or beginner in ring theory (or even algebra) should know - but surely trying to solve as many of these exercises as possible independently. As difficult (or impossible) as this may seem, we have made every effort to avoid modules, lattices and field extensions in this collection and to remain in the ring area as much as possible. A brief look at the bibliography obviously shows that we don't claim much originality (one could name this the folklore of ring theory) for the statements of the exercises we have chosen (but this was a difficult task: indeed, the 28 titles contain approximatively 15.000 problems and our collection contains only 346). The real value of our book is the part which contains all the solutions of these exercises. We have tried to draw up these solutions as detailed as possible, so that each beginner can progress without skilled help. The book is divided in two parts each consisting of seventeen chapters, the first part containing the exercises and the second part the solutions.
LC Classification Number
QA251.5

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