Articoli correlati a An Introduction to Noncommutative Noetherian Rings
Sinossi
Introduces and applies the standard techniques in the area (ring of fractions, bimodules, Krull dimension, linked prime ideals).
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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.
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An Introduction to Noncommutative Noetherian Rings (London Mathematical Society Student Texts, Series Number 16)
Editore:
Cambridge University Press, 1989
ISBN 10: 0521369258
ISBN 13: 9780521369251
Antico o usato
paperback
Da: Fireside Bookshop, Stroud, GLOS, Regno Unito
Valutazione del venditore 5 su 5 stelle
paperback. Condizione: Good. Fading to spine and edges of covers. Codice articolo 721321
Quantità: 1 disponibili
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Introduction to Non-Commutative Noetherian Rings
Editore:
West Nyack, New York, U.S.A.: Cambridge Univ Pr, 1989
ISBN 10: 0521369258
ISBN 13: 9780521369251
Antico o usato
Soft cover
Da: Atticus Books, Toronto, ON, Canada
Valutazione del venditore 4 su 5 stelle
Soft cover. Condizione: Very Good. No Jacket. "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." (Publisher). Codice articolo HB8653
Quantità: 1 disponibili