Overview

This book contains almost 350 exercises in basic ring theory. The problems form the 'folklore' of ring theory, and the solutions are given in as much detail as possible. This makes the work ideally suited for self-study. Subjects treated include zero divisors, ring homomorphisms, divisibility in integral domains, division rings, automorphisms, the tensor product, artinian and noetherian rings, socle and radical rings, semisimple rings, polynomial rings, rings of quotients, and rings of continuous functions. Audience: This volume is recommended for lecturers and graduate students involved in associative rings and algebras, commutative rings and algebras, algebraic number theory, field theory and polynomials, order, lattices, and general topology.

Full Product Details

Author:   Grigore Calugareanu ,  P. Hamburg
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1998
Volume:   20
Dimensions:   Width: 16.00cm , Height: 1.10cm , Length: 24.00cm
Weight:   0.454kg
ISBN:  

9789048149858

ISBN 10:   9048149851
Pages:   200
Publication Date:   15 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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