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| |  Online-Ressource |
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| Verfasst von: | Johnson, Norman L. [VerfasserIn]  |
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| Titel: | Geometry of derivation with applications |
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| Verf.angabe: | Norman L. Johnson |
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| Ausgabe: | First edition |
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| Verlagsort: | Boca Raton ; London ; New York |
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| Verlag: | CRC Press |
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| Jahr: | 2023 |
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| Umfang: | 1 Online-Ressource (xv, 355 Seiten) |
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| Fussnoten: | Description based on publisher supplied metadata and other sources |
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| ISBN: | 978-1-000-88388-6 |
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| | 978-1-003-32445-4 |
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| Abstract: | Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Contents -- Acknowledgements -- Preface -- Part 1: Classical theory of derivation -- Chapter 1: Coordinate methods -- 1. Translation planes and quasifibrations -- 2. Quasifields -- 3. Left quasifields -- 4. T-extension -- Chapter 2: Embedding theory of derivable nets -- 1. Co-dimension 2 construction -- 2. Structure theory and contraction of embedded nets -- 3. Embedding of subplane covered nets -- 4. Transversals to derivable nets -- Part 2: Classifying derivable nets over skewfields -- Chapter 3: Fundamentals & -- background -- 1. Uniform representation for quaternion division rings -- 2. Quaternion division ring planes -- 3. Matrices and determinants over skewfields -- 4. Classifying derivable nets -- Chapter 4: Classification theory over skewfields -- 1. Notation -- 2. Extension of skewfields theorem/Skewfield bimodules -- 3. Preliminary types 1, 2, 3 -- 4. Standard framework -- 5. Generalized quaternions over skewfields -- 6. Matrix skewfields are generalized quaternion -- 7. Generalized G(a, b)F contains (a, b)Z(F) -- 8. Artin-Wedderburn theorem & -- Brauer groups -- 9. Extending skewfields -- Part 3: Types i of derivable nets -- Chapter 5: The types -- 1. Type 0 -- 2. Double regulus type 0 derivable nets -- 3. The ambient space -- 4. Derivable nets of type 3 -- 5. Order in type 3 derivable nets -- 6. Derivable nets of type 2 -- 7. Fake type 2 derivable nets -- 8. Open form derivable nets of type 2 -- 9. Order in type 2 derivable nets -- 10. Derivable nets of type 1 -- 11. Examples of type 1 derivable nets -- 12. Carrier nets -- 13. Derivable nets in translation planes -- Part 4: Flocks of α-cones -- Chapter 6: Klein quadric and generalization -- 1. α-Klein quadric -- 2. Construction of general flocks -- 3. The field case -- 4. Algebraic construction for α-cones. |
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| URL: | Aggregator: https://ebookcentral.proquest.com/lib/kxp/detail.action?docID=7250459 |
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| Schlagwörter: | (s)Kombinatorische Geometrie / (s)Inzidenzgeometrie / (s)Translationsebene / (s)Schiefkörper / (s)Nichtkommutative Algebra / (s)Endliche nichtkommutative Geometrie / (s)Galois-Erweiterung |
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| Datenträger: | Online-Ressource |
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| Sprache: | eng |
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| Bibliogr. Hinweis: | Erscheint auch als : Druck-Ausgabe: Johnson, Norman L., 1939 - : Geometry of derivation with applications. - Boca Raton : CRC Press, 2023. - xv, 355 Seiten |
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| Sach-SW: | Electronic books |
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| K10plus-PPN: | 1846630592 |
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| Lokale URL UB: |  Zum Volltext |
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978-1-000-88388-6,978-1-003-32445-4
Geometry of derivation with applications / Johnson, Norman L. [VerfasserIn]; 2023 (Online-Ressource)
69095242
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