An Introduction to Noncommutative Noetherian Rings - Brossura

Goodearl, K. R.; Warfield Jr, R. B.

Brossura

ISBN 10: 0521369258 ISBN 13: 9780521369251

Casa editrice: Cambridge University Press, 1989

Riassunto

Introduces and applies the standard techniques in the area (ring of fractions, bimodules, Krull dimension, linked prime ideals).

Su questo libro

Descrizione del libro

This introduction is intended to be accessible to anyone with a basic background in algebra and can be used as a first-year graduate text, or a self-contained reference. The standard techniques in the area (ring of fractions, bimodules, Krull dimension, linked prime ideals) are introduced and applied to a variety of problems.

Contenuti

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.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1989
• Lingua: Inglese
• ISBN 10: 0521369258
• ISBN 13: 9780521369251
• Rilegatura: Copertina flessibile
• Numero di pagine: 326
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia