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Record Nr. |
UNINA9910457951203321 |
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Autore |
Goodearl K. R. |
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Titolo |
An introduction to noncommutative noetherian rings / / K.R. Goodearl, R.B. Warfield, Jr [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2004 |
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ISBN |
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1-107-16158-4 |
1-280-54067-2 |
9786610540679 |
0-511-21550-9 |
0-511-21729-3 |
0-511-21192-9 |
0-511-31588-0 |
0-511-84169-8 |
0-511-21369-7 |
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Edizione |
[Second edition.] |
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Descrizione fisica |
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1 online resource (xxiv, 344 pages) : digital, PDF file(s) |
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Collana |
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London Mathematical Society student texts ; ; 61 |
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Disciplina |
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Soggetti |
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Noetherian rings |
Noncommutative rings |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references (p. [328]-337) and index. |
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Nota di contenuto |
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Cover; Series-title; Title; Copyright; Contents; Introduction to the Second Edition; Introduction to the First Edition; Prologue; 1. A Few Noetherian Rings; 2. Skew Polynomial Rings; 3. Prime Ideals; 4. Semisimple Modules, Artinian Modules, and Torsionfree Modules; 5. Injective Hulls; 6. Semisimple Rings of Fractions; 7. Modules over Semiprime Goldie Rings; 8. Bimodules and A.liated Prime Ideals; 9. Fully Bounded Rings; 10. Rings and Modules of Fractions; 11. Artinian Quotient Rings; 12. Links Between Prime Ideals; 13. The Artin-Rees Property; 14. Rings Satisfying the Second Layer Condition |
15. Krull Dimension16. Numbers of Generators of Modules; 17. Transcendental Division Algebras; Appendix. Some Test Problems for Noetherian Rings; Bibliography; Index |
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Sommario/riassunto |
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This 2004 introduction to noncommutative noetherian rings is intended |
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to be accessible to anyone with a basic background in abstract algebra. It can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory discussion is given, and exercises are integrated throughout. Various important settings, such as group algebras, Lie algebras, and quantum groups, are sketched at the outset to describe typical problems and provide motivation. The text then develops and illustrates the standard ingredients of the theory: e.g., skew polynomial rings, rings of fractions, bimodules, Krull dimension, linked prime ideals. Recurring emphasis is placed on prime ideals, which play a central role in applications to representation theory. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. Material includes the basic types of quantum groups, which then serve as test cases for the theory developed. |
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2. |
Record Nr. |
UNINA9910813241103321 |
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Autore |
Haye Thomas |
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Titolo |
Verlorenes Mittelalter : ursachen und muster der Nichtüberlieferung mittellateinischer literatur / / von Thomas Haye |
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Pubbl/distr/stampa |
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Leiden, Netherlands ; ; Boston, [Massachusetts] : , : Brill, , 2016 |
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©2016 |
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ISBN |
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Descrizione fisica |
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1 online resource (xv, 738 pages) |
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Collana |
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Mittellateinische Studien und Texte, , 0076-9754 ; ; Volume 49 |
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Disciplina |
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Soggetti |
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Latin literature, Medieval and modern - History and criticism |
Lost literature - Rome |
Transmission of texts - Rome - History |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Front Matter -- Einführung -- Die Qualität der Informationen -- Die Quellen -- Die Ursachen des Überlieferungsverlustes und ihre kulturellen Spezifika -- Die Dimensionen der Produktion -- Der Kampf der Autoren gegen den Verlust -- Zeitpunkte und Phasen des Verlustes |
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-- Überlieferung und Nichtüberlieferung innerhalb des einzelnen Œuvres -- Die Beinaheverluste -- Gegenprobe: Träger, Formate und auktoriale Profile der erhaltenen Literatur -- Gliederung der Verluste nach Produktionsorten und Milieus -- Gliederung der Verluste nach Gattungen -- Gliederung der Verluste nach Teilepochen -- Einzelbeispiele -- Fazit und Ausblick -- Sekundärliteratur -- Register der lateinischen Autoren und Texte. |
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Sommario/riassunto |
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In his monograph Verlorenes Mittelalter , Thomas Haye discusses the question of why the greater part of the Latin texts which were produced over the course of the Middle Ages has not been preserved. Contemporary sources attest to the existence of thousands of texts which have not come down to the modern era. As Haye demonstrates, these losses are not primarily due to random happenstance, but are often rather the results of certain aspects of contemporary mentality, sociohistorical circumstances, preferences regarding literary genres and other specific cultural factors. Modern literary histories largely disregard the lost texts. The present book argues for the development of a new narrative which duly takes into account the lost texts as well as those that still exist. |
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