Rings of Quotients

An Introduction to Methods of Ring Theory

Authors:

ISBN: 978-3-642-66068-9 (Print) 978-3-642-66066-5 (Online)

Table of contents (17 chapters)

  1. Front Matter

    Pages I-VIII

  2. No Access

    Book Chapter

    Pages 1-3

    Introduction

  3. No Access

    Book Chapter

    Pages 4-4

    Notations and Conventions

  4. No Access

    Book Chapter

    Pages 5-49

    Modules

  5. No Access

    Book Chapter

    Pages 50-62

    Rings of Fractions

  6. No Access

    Book Chapter

    Pages 63-81

    Modular Lattices

  7. No Access

    Book Chapter

    Pages 82-113

    Abelian Categories

  8. No Access

    Book Chapter

    Pages 114-135

    Grothendieck Categories

  9. No Access

    Book Chapter

    Pages 136-159

    Torsion Theory

  10. No Access

    Book Chapter

    Pages 160-178

    Hereditary Torsion Theories for Noetherian Rings

  11. No Access

    Book Chapter

    Pages 179-194

    Simple Torsion Theories

  12. No Access

    Book Chapter

    Pages 195-212

    Rings and Modules of Quotients

  13. No Access

    Book Chapter

    Pages 213-224

    The Category of Modules of Quotients

  14. No Access

    Book Chapter

    Pages 225-243

    Perfect Localizations

  15. No Access

    Book Chapter

    Pages 244-261

    The Maximal Ring of Quotients of a Non-Singular Ring

  16. No Access

    Book Chapter

    Pages 262-272

    Finiteness Conditions on Mod-(A, ℑ)

  17. No Access

    Book Chapter

    Pages 273-282

    Self-Injective Rings

  18. No Access

    Book Chapter

    Pages 283-294

    Classical Rings of Quotients

  19. Back Matter

    Pages 295-312