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Introductory Lectures on Rings and Modules (London Mathematical Society Student Texts, Series Number 47) - Softcover
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The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module theoretic approach to the Jacobson radical and the Artin-Wedderburn theorem; the use of Baer's criterion for injectivity to prove the structure theorem for finitely generated modules over a principal ideal domain; and applications of the general theory to the representation theory of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie's theorem. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates.
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Book Description
The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates.
Review
"The lucid style, the detailed proofs and the many worked examples make this book highly recommendable." Monatshefte fur Mathematik
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- PublisherCambridge University Press
- Publication date1999
- ISBN 10 0521644070
- ISBN 13 9780521644075
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages248
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Introductory Lectures on Rings and Modules (London Mathematical Society Student Texts 47)
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Cambridge University Press, 1999
ISBN 10: 0521644070
ISBN 13: 9780521644075
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Introductory Lectures on Rings and Modules (London Mathematical Society Student Texts, Series Number 47)
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ISBN 13: 9780521644075
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Introductory Lectures on Rings and Modules (London Mathematical Society Student Texts, Series Number 47)
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ISBN 13: 9780521644075
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Introductory Lectures on Rings and Modules (London Mathematical Society Student Texts, Series Number 47)
Published by
Cambridge University Press, 1999
ISBN 10: 0521644070
ISBN 13: 9780521644075
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Introductory Lectures on Rings and Modules (Paperback)
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Cambridge University Press, Cambridge, 2006
ISBN 10: 0521644070
ISBN 13: 9780521644075
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Paperback. Condition: new. Paperback. The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module theoretic approach to the Jacobson radical and the Artin-Wedderburn theorem; the use of Baer's criterion for injectivity to prove the structure theorem for finitely generated modules over a principal ideal domain; and applications of the general theory to the representation theory of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie's theorem. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates. The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module theoretic approach to the Jacobson radical and the Artin-Wedderburn theorem; the use of Baer's criterion for injectivity to prove the structure theorem for finitely generated modules over a principal ideal domain; and applications of the general theory to the representation theory of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie's theorem. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521644075
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Introductory Lectures on Rings and Modules
Published by
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ISBN 13: 9780521644075
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. It can be used as a first-year graduate text or as a reference for advanced . Seller Inventory # 446943575
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Introductory Lectures on Rings and Modules (Paperback)
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ISBN 10: 0521644070
ISBN 13: 9780521644075
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Paperback. Condition: new. Paperback. The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module theoretic approach to the Jacobson radical and the Artin-Wedderburn theorem; the use of Baer's criterion for injectivity to prove the structure theorem for finitely generated modules over a principal ideal domain; and applications of the general theory to the representation theory of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie's theorem. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates. The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module theoretic approach to the Jacobson radical and the Artin-Wedderburn theorem; the use of Baer's criterion for injectivity to prove the structure theorem for finitely generated modules over a principal ideal domain; and applications of the general theory to the representation theory of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie's theorem. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780521644075
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Introductory Lectures on Rings and Modules
Published by
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ISBN 13: 9780521644075
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