Galois Theories

AvFrancis Borceux,George Janelidze

Inbunden, Engelska, 2001

Del 72 i serien Cambridge Studies in Advanced Mathematics

2 263 kr

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Fler format och utgåvor

Häftad

1 147 kr

Beskrivning

Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context, presenting work by Grothendieck in terms of separable algebras and then proceeding to the infinite-dimensional case, which requires considering topological Galois groups. In the core of the book, the authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience: the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit and adjoint functors. The first chapters are accessible to advanced undergraduates, with later ones at a graduate level. For all algebraists and category theorists this book will be a rewarding read.

Produktinformation

Utgivningsdatum:2001-02-22
Mått:157 x 237 x 24 mm
Vikt:617 g
Format:Inbunden
Språk:Engelska
Serie:Cambridge Studies in Advanced Mathematics
Antal sidor:356
Förlag:Cambridge University Press
ISBN:9780521803090

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Recensioner i media

Review of the hardback: 'This book is a beautiful presentation of Janelidze's general categorical Galois theory … a rewarding read.' László Márki, Acta Sci. Math.

Innehållsförteckning

Introduction; 1. Classical Galois theory; 2. Galois theory of Grothendieck; 3. Infinitary Galois theory; 4. Categorical Galois theory of commutative rings; 5. Categorical Galois theorem and factorization systems; 6. Covering maps; 7. Non-Galoisian Galois theory; Appendix; Bibliography; Index.

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Galois Theories

AvFrancis Borceux,George Janelidze

Inbunden, Engelska, 2001

Del 72 i serien Cambridge Studies in Advanced Mathematics

2 263 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

Häftad

1 147 kr

Beskrivning

Produktinformation

Utgivningsdatum:2001-02-22
Mått:157 x 237 x 24 mm
Vikt:617 g
Format:Inbunden
Språk:Engelska
Serie:Cambridge Studies in Advanced Mathematics
Antal sidor:356
Förlag:Cambridge University Press
ISBN:9780521803090

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Recensioner i media

Review of the hardback: 'This book is a beautiful presentation of Janelidze's general categorical Galois theory … a rewarding read.' László Márki, Acta Sci. Math.

Innehållsförteckning

Introduction; 1. Classical Galois theory; 2. Galois theory of Grothendieck; 3. Infinitary Galois theory; 4. Categorical Galois theory of commutative rings; 5. Categorical Galois theorem and factorization systems; 6. Covering maps; 7. Non-Galoisian Galois theory; Appendix; Bibliography; Index.