Modules over endomorphism rings /

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...

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Bibliographic Details
Main Author: Faticoni, Theodore G. 1954- (Author)
Format: eBook
Language:English
Published: Cambridge : Cambridge University Press, 2010.
Series:Encyclopedia of mathematics and its applications ; v. 130.
Subjects:
Online Access:CONNECT
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Table of Contents:
  • 1. Preliminary results
  • 2. Class number of an abelian group
  • 3. Mayer-Victoris sequences
  • 4. Lifting units
  • 5. conductor
  • 6. Conductors and groups
  • 7. Invertible fractional ideals
  • 8. L-groups
  • 9. Modules and homotopy classes
  • 10. Tensor functor equivalences
  • 11. Characterizing endomorphisms
  • 12. Projective modules
  • 13. Finitely generated modules
  • 14. Rtffr E-projective groups
  • 15. Injective endomorphism modules
  • 16. diagram of categories
  • 17. Diagrams of abelian groups
  • 18. Marginal isomorphisms.