Buch, Englisch, 326 Seiten, Format (B × H): 156 mm x 235 mm, Gewicht: 564 g
Buch, Englisch, 326 Seiten, Format (B × H): 156 mm x 235 mm, Gewicht: 564 g
Reihe: London Mathematical Society Student Texts
ISBN: 978-0-521-36086-9
Verlag: Cambridge University Press
This introduction to noncommutative Noetherian rings is intended to be accessible to anyone with a basic background in algebra. It can be used as a first-year graduate text, or as a self-contained reference. The authors' pedagogic style, with much explanatory discussion and exercises integrated into the development, will be a valuable aid in this respect. The standard techniques in the area (rings of fractions, bimodules, Krull dimension, linked prime ideals) are introduced and applied to a variety of problems. A recurring emphasis is placed on prime ideals and injective modules.
Autoren/Hrsg.
Weitere Infos & Material
Introduction; Prologue; 1. A few Noetherian rings; 2. Prime ideals; 3. Semisimple modules, Artinian modules, and nonsingular modules; 4. Injective hulls; 5. Semisimple rings of fractions; 6. Modules over semiprime goldie rings; 7. Bimodules and affiliated prime ideals; 8. Fully bounded rings; 9. Rings of fractions; 10. Artinian quotient rings; 11. Links between prime ideals; 12. Rings satisfying the second layer condition; 13. Krull dimension; 14. Numbers of generators of modules; 15. Transcendental division algebras; Appendix.
