Basic Commutative Algebra
eBook - PDF

Basic Commutative Algebra

  1. 404 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Basic Commutative Algebra

Book details
Table of contents
Citations

About This Book

This textbook, set for a one or two semester course in commutative algebra, provides an introduction to commutative algebra at the postgraduate and research levels. The main prerequisites are familiarity with groups, rings and fields. Proofs are self-contained.

The book will be useful to beginners and experienced researchers alike. The material is so arranged that the beginner can learn through self-study or by attending a course. For the experienced researcher, the book may serve to present new perspectives on some well-known results, or as a reference.

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Yes, you can access Basic Commutative Algebra by Balwant Singh in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
WSPC
Year
2011
ISBN
9789813100817
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Contents
  2. Preface
  3. 1. Rings and Ideals
  4. 2. Modules and Algebras
  5. 3. Polynomial and Power Series Rings
  6. 4. Homological Tools I
  7. 5. Tensor, Symmetric and Exterior Algebras
  8. 6. Finiteness Conditions
  9. 7. Primary Decomposition
  10. 8. Filtrations and Completions
  11. 9. Numerical Functions
  12. 10. Principal Ideal Theorem
  13. 11. Integral Extensions
  14. 12. Normal Domains
  15. 13. Transcendental Extensions
  16. 14. Affine Algebras
  17. 15. Derivations and Differentials
  18. 16. Valuation Rings and Valuations
  19. 17. Homological Tools II
  20. 18. Homological Dimensions
  21. 19. Depth
  22. 20. Regular Rings
  23. 21. Divisor Class Groups
  24. Bibliography
  25. Index