E-Book, Englisch, 414 Seiten
Reihe: Problem Books in Mathematics
Lam Exercises in Modules and Rings
1. Auflage 2009
ISBN: 978-0-387-48899-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 414 Seiten
Reihe: Problem Books in Mathematics
ISBN: 978-0-387-48899-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
This volume offers a compendium of exercises of varying degree of difficulty in the theory of modules and rings. It is the companion volume to GTM 189. All exercises are solved in full detail. Each section begins with an introduction giving the general background and the theoretical basis for the problems that follow.
Autoren/Hrsg.
Weitere Infos & Material
1;Preface;7
2;Contents;9
3;Notes to the Reader;11
4;Partial List of Notations;13
5;Partial List of Abbreviations;16
6;Chapter 1 Free Modules, Projective, and Injective Modules;18
7;Chapter 2 Flat Modules and Homological Dimensions;113
8;Chapter 3 More Theory of Modules;171
9;Chapter 4 Rings of Quotients;233
10;Chapter 5 More Rings of Quotients;286
11;Chapter 6 Frobenius and Quasi- Frobenius Rings;314
12;Chapter 7 Matrix Rings, Categories of Modules and Morita Theory;358
13;Name Index;418
14;Subject Index;421




