Cogalois Theory
Seiten
2002
Crc Press Inc (Verlag)
978-0-8247-0949-5 (ISBN)
Crc Press Inc (Verlag)
978-0-8247-0949-5 (ISBN)
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Offers a comprehensive investigation of field extensions, finite or not, that possess a Cogalois correspondence. This volume presents a review of basic field theory, considers the Vahlen-Capelli Criterion, and investigates the radical, Kneser, strongly Kneser, Cogalois, and G-Cogalois extensions.
This volume offers a systematic, comprehensive investigation of field extensions, finite or not, that possess a Cogalois correspondence. The subject is somewhat dual to the very classical Galois Theory dealing with field extensions possessing a Galois correspondence. Solidly backed by over 250 exercises and an extensive bibliography, this book presents a compact and complete review of basic field theory, considers the Vahlen-Capelli Criterion, investigates the radical, Kneser, strongly Kneser, Cogalois, and G-Cogalois extensions, discusses field extensions that are simultaneously Galois and G-Cogalois, and presents nice applications to elementary field arithmetic.
This volume offers a systematic, comprehensive investigation of field extensions, finite or not, that possess a Cogalois correspondence. The subject is somewhat dual to the very classical Galois Theory dealing with field extensions possessing a Galois correspondence. Solidly backed by over 250 exercises and an extensive bibliography, this book presents a compact and complete review of basic field theory, considers the Vahlen-Capelli Criterion, investigates the radical, Kneser, strongly Kneser, Cogalois, and G-Cogalois extensions, discusses field extensions that are simultaneously Galois and G-Cogalois, and presents nice applications to elementary field arithmetic.
Toma Albu
1: Finite Cogalois Theory; 1: Preliminaries; 2: Kneser Extensions; 3: Cogalois Extensions; 4: Strongly Kneser Extensions; 5: Galois G-Cogalois Extensions; 6: Radical Extensions and Crossed Homomorphisms; 7: Examples of G-Cogalois Extensions; 8: G-Cogalois Extensions and Primitive Elements; 9: Applications to Algebraic Number Fields; 10: Connections with Graded Algebras and Hopf Algebras; 2: Infinite Cogalois Theory; 11: Infinite Kneser Extensions; 12: Infinite G -Cogalois Extensions; 13: Infinite Kummer Theory; 14: Infinite Galois Theory and Pontryagin Duality; 15: Infinite Galois G-Cogalois Extensions
| Reihe/Serie | Chapman & Hall/CRC Pure and Applied Mathematics |
|---|---|
| Verlagsort | Bosa Roca |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 544 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| ISBN-10 | 0-8247-0949-7 / 0824709497 |
| ISBN-13 | 978-0-8247-0949-5 / 9780824709495 |
| Zustand | Neuware |
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