Description

Book Synopsis
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". The book is divided in two parts each consisting of seventeen chapters, the first part containing the exercises and the second part the solutions.

Table of Contents
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.

Exercises in Basic Ring Theory 20 Texts in the

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    A Hardback by Grigore Calugareanu, P. Hamburg

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      Book details

      Publisher Springer
      Published 28 February 1998
      ISBN-13 9780792349181
      978-0792349181
      ISBN-10 0792349180
      Also in:
      Mathematics Algebra Topology

      Description

      Book Synopsis
      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". The book is divided in two parts each consisting of seventeen chapters, the first part containing the exercises and the second part the solutions.

      Table of Contents
      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.

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