• Produktbild: Endomorphism Rings of Abelian Groups
  • Produktbild: Endomorphism Rings of Abelian Groups
Band 2

Endomorphism Rings of Abelian Groups

Aus der Reihe Algebra and Applications

49,99 €

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

03.12.2010

Verlag

Springer Netherland

Seitenzahl

443

Maße (L/B/H)

24,4/17/2,5 cm

Gewicht

781 g

Auflage

Softcover reprint of the original 1st ed. 2003

Sprache

Englisch

ISBN

978-90-481-6349-6

Beschreibung

Rezension

From the reviews:



"In this book, the variety of methods, the beauty of the results, and the appeal of the open problems provide ample justification for the author’s rationale. … book is largely self-contained … . Helpful and challenging sets of exercises appear at the end of each section and open problems are listed at the end of each chapter. This work will be valuable as a text book for a graduate course, a reference on a lively area of mathematics, and a guide to appealing research problems." (Charles Vinsonhaler, Zentralblatt MATH, Vol. 1044 (19), 2004)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

03.12.2010

Verlag

Springer Netherland

Seitenzahl

443

Maße (L/B/H)

24,4/17/2,5 cm

Gewicht

781 g

Auflage

Softcover reprint of the original 1st ed. 2003

Sprache

Englisch

ISBN

978-90-481-6349-6

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Endomorphism Rings of Abelian Groups
  • Produktbild: Endomorphism Rings of Abelian Groups
  • Preface. Symbols.
    I: General Results on Endomorphism Rings. 1. Rings, Modules and Categories. 2. Abelian Groups. 3. Examples and Some Properties of Endomorphism Rings. 4. Torsion-Free Rings of Finite Rank. 5. Quasi-Endomorphism Rings of Torsion-Free Groups. 6. E-Modules and E-Rings. 7. Torsion-Free Groups Coinciding with Their Pseudo-Socles. 8. Irreducible Torsion-Free Groups.
    II: Groups as Modules over Their Endomorphism Rings. 9. Endo-Artinian and Endo-Noetherian Groups. 10. Endo-Flat Primary Groups. 11. Endo-Finite Torsion-Free Groups of Finite Rank. 12. Endo-Projective and Endo-Generator Torsion-Free Groups of Finite Rank. 13. Endo-Flat Torsion-Free Groups of Finite Rank.
    III: Ring Properties of Endomorphism Rings. 14. The Finite Topology. 15. Endomorphism Rings with the Minimum Condition. 16. Hom(A, B) as a Noethian Module over End(£Ii£). 18. Regular Endomorphism Rings. 19. Commutative and Local Endomorphism Rings.
    IV: The Jacobson Radical of the Endomorphism Ring. 20. The Case of p-groups. 21. The Radical of the Endomorphism Ring of a Torsion-Free Group of Finite Rank. 22. The Radical of the Endomorphism Ring of Algebraically Compact and Completely Decomposable Torsion-Free Groups. 23. The Nilpotence of the Radicals N (End(G)) and J (End(G)).
    V: Isomorphism and Realization Theorems. 24. The Baer Kaplansky Theorem. 25. Continuous and Discrete Isomorphisms of Endomorphism Rings. 26. Endomorphism Rings of Groups with Large Divisible Subgroups. 27. Endomorphism Rings of Mixed Groups of Torsion-Free Rank 1. 28. The Corner Theorem on Split Realization. 29. Realizations for Endomorphism Rings of Torsion-Free Groups. 30. The Realization Problem for Endomorphism Rings of Mixed Groups.
    VI: Hereditary Endomorphism Rings. 31.Self-Small Groups. 32. Categories of Groups andModules over Endomorphism Rings. 33. Faithful Groups. 34. Faithful Endo-Flat Groups. 35. Groups with Right Hereditary Endomorphism Rings. 36. Groups of Generalized Rank 1. 37. Torsion-Free Groups with Hereditary Endomorphism Rings. 38. Maximal Orders as Endomorphism Rings. 39. p-Semisimple Groups.
    VII: Fully Transitive Groups. 40. Homogeneous Fully Transitive Groups. 41. Groups whose Quasi-Endomorphism Rings are Division Rings. 42. Fully Transitive Groups Coinciding with Their Pseudo-Socles. 43. Fully Transitive Groups with Restrictions on Element Types. 44. Torsion-Free Groups of p-Ranks = 1.
    References. Index.