Modules over Endomorphism Rings
eBook - PDF

Modules over Endomorphism Rings

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

Modules over Endomorphism Rings

Book details
Table of contents
Citations

About This Book

This is an extensive synthesis of recent work in the study of endomorphism rings and their modules, bringing together direct sum decompositions of modules, the class number of an algebraic number field, point set topological spaces, and classical noncommutative localization. The main idea behind the book is to study modules G over a ring R via their endomorphism ring EndR(G). The author discusses a wealth of results that classify G and EndR(G) via numerous properties, and in particular results from point set topology are used to provide a complete characterization of the direct sum decomposition properties of G. For graduate students this is a useful introduction, while the more experienced mathematician will discover that the book contains results that are not otherwise available. Each chapter contains a list of exercises and problems for future research, which provide a springboard for students entering modern professional mathematics.

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Yes, you can access Modules over Endomorphism Rings by Theodore G. Faticoni in PDF and/or ePUB format, as well as other popular books in Matemáticas & Álgebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2009
ISBN
9781139106627
Topic
Matemáticas
Subtopic
Álgebra

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Dedication
  5. Contents
  6. Preface
  7. 1 Preliminary results
  8. 2 Class number of an abelian group
  9. 3 Mayer--Vietoris sequences
  10. 4 Lifting units
  11. 5 The conductor
  12. 6 Conductors and groups
  13. 7 Invertible fractional ideals
  14. 8 L-groups
  15. 9 Modules and homotopy classes
  16. 10 Tensor functor equivalences
  17. 11 Characterizing endomorphisms
  18. 12 Projective modules
  19. 13 Finitely generated modules
  20. 14 Rtffr E-projective groups
  21. 15 Injective endomorphism modules
  22. 16 A diagram of categories
  23. 17 Diagrams of abelian groups
  24. 18 Marginal isomorphisms
  25. Bibliography
  26. Index