MPG.eBooks - Table of Contents: Exercises in Basic Ring Theory

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Exercises in Basic Ring Theory

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 ha...

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Bibliographic Details
Main Authors:	Calugareanu, Grigore, Hamburg, P. (Author)
Format:	eBook
Language:	English
Published:	Dordrecht Springer Netherlands 1998, 1998
Edition:	1st ed. 1998
Series:	Texts in the Mathematical Sciences
Subjects:	Associative Algebras Commutative Algebra Commutative Rings And Algebras Algebraic Fields Field Theory And Polynomials Topology Algebra Commutative Rings Associative Rings Order, Lattices, Ordered Algebraic Structures Polynomials Associative Rings And Algebras
Online Access:	https://doi.org/10.1007/978-94-015-9004-4?nosfx=y
Collection:	Springer Book Archives -2004 - Collection details see MPG.ReNa

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

Exercises in Basic Ring Theory

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