Modules over endomorphism rings

✍ Scribed by Theodore G Faticoni

Publisher: Cambridge University Press
Year: 2010
Tongue: English
Leaves: 393
Series: Encyclopedia of mathematics and its applications, v. 130
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

''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.''--BOOK JACKET.

✦ Table of Contents

Content: 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.
Abstract:

An extensive synthesis of recent work in the study of endomorphism rings and their modules. Read more...

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