Abstract Algebra

Suitable for Self-Study or Online Lectures

Häftad, Engelska, 2024

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In addition to elementary algebraic structures such as groups, rings and solids, Galois theory in particular is developed together with its applications to the cyclotomic fields, finite fields or the question of the resolution of polynomial equations. Special attention is paid to the natural development of the contents.

Produktinformation

Utgivningsdatum2024-08-07
Mått155 x 235 x 21 mm
Vikt486 g
FormatHäftad
SpråkEngelska
SerieMathematics Study Resources
Antal sidor307
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783662679739
OriginaltitelAlgebra

Tillhör följande kategorier

Algebra inom Naturvetenskap och teknik

Motivation and prerequisites.- Field extensions and algebraic elements.- Groups.- Group quotients and normal divisors.- Rings and ideals.- Euclidean rings, principal ideal rings, Noetherian rings.- Factorial rings.- Quotient fields for integrality domains.- Irreducible polynomials in factorial rings.- Galois theory (I) - Theorem A and its variant A'.- Intermezzo - explicit example.- Normal fields extensions.- Separability.- Galois theory (II) - The main theorem.- Cyclotomic fields.- Finite fields.- More group theory - Group operations and Sylow.- Resolvability of polynomial equations.