Sinossi
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.
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Contenuti
Preface. List of Symbols. 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. 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. Bibliography. Index.
Product Description
Book by Calugareanu Grigore Hamburg P
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Exercises in Basic Ring Theory
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Springer Netherlands, Springer Netherlands Feb 1998, 1998
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 220 pp. Englisch. Codice articolo 9780792349181
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 on. Codice articolo 5968357
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Exercises in Basic Ring Theory
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Buch. Condizione: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 220 pp. Englisch. Codice articolo 9780792349181
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