Cogalois Theory

AvToma Albu

E-bok

Engelska, 2002

Del i serien Chapman & Hall/CRC Pure and Applied Mathematics

4 299 kr

Läs direkt i Bokus Reader – eller ladda ned till din enhet

Fler format och utgåvor

E-bok

4 299 kr

Inbunden

Tillf. slut

Beskrivning

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.

Produktinformation

Utgivningsdatum:2002-10-16
Språk:Engelska
Filformat:EPUB
Kopieringsskydd:LCP
ISBN:9781040213681
Förlag:Taylor & Francis Ltd
Serie:Chapman & Hall/CRC Pure and Applied Mathematics

Utforska kategorier

Algebra inom Naturvetenskap och teknik
Talteori inom Naturvetenskap och teknik

Recensioner i media

"The author is an important contributor to the subject, and the volume contains many of his results. The book is carefully written … Over 250 exercises, an up-to-date bibliography and an extensive index add to the value of the book. This volume is especially recommended to students and researchers in Algebraic Number Theory, but any algebraist will find here interesting ideas and information."- Studia Universitatis Babes-Bolyai Series Mathematica, Vol. XLVIII, No. 4, 2003"The book is rich in many examples and exercises."-Zentralblatt MATHPromo Copy

Innehållsförteckning

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