Introduction to Ring Theory
(Sprache: Englisch)
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...
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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. Readers are 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.
Klappentext zu „Introduction to Ring Theory “
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.
Inhaltsverzeichnis zu „Introduction to Ring Theory “
Remarks on Notation and Terminology.- 1 Basics.- 2 Linear Algebras and Artinian Rings.- 3 Noetherian Rings.- 4 Ring Constructions.- 5 General Rings.- Outline Solutions.- Notations and Symbols.
Bibliographische Angaben
- Autor: Paul M. Cohn
- 1999, 2000, X, 229 Seiten, 13 Abbildungen, Maße: 17,8 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1852332069
- ISBN-13: 9781852332068
- Erscheinungsdatum: 08.06.2001
Sprache:
Englisch
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