A01=Toma Albu
Abelian Extension
Abelian Group
advanced abstract algebra
algebraic field structures
Algebraic Number Fields
Algebras and Hopf Algebras
Author_Toma Albu
Category=PBF
Category=PBW
Classical Rummer extensions
Closed Subgroups
cogalois correspondence in mathematics
Cogalois Extensions
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
field automorphisms
Finite Abelian Group
Finite Exponent
Finite Extension
Finite Galois Extension
Finite Group
Galois and Cogalois connections
Galois Extensions
Galois extensions and crossed homomorphisms
Galois Group
Galois Theory
Generalized Kummer extensions
group cohomology methods
Group Isomorphism
Hecke systems of ideal numbers
Hopf Algebras
Infinite Cogalois Theory
infinite field extensions
Intermediate Fields
Internal Direct Sum
Irreducible Polynomials
Kneser Extensions
Lattice Isomorphism
Linearly Disjoint
module theory applications
Number theoretic preliminaries
Odd Prime
Pontryagin Duality
Profinite Group
Radical Extensions and Crossed Homomorphisms
Square Free Integer
Strongly Kneser Extensions
The Kneser group
Topological Group
Vector Space Basis
Product details
- ISBN 9780824709495
- Weight: 544g
- Dimensions: 152 x 229mm
- Publication Date: 16 Oct 2002
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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.
