Articles liés à Galois Theories
Synopsis
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.
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Présentation de l'éditeur
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.
Revue de presse
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.
Review of the hardback: '... highly recommended or anyone wishing to learn the mathematical side of category theory (rather than its computer-science aspect) ... I enjoyed reading it very much.' Proceedings of the Edinburgh Mathematical Society
Review of the hardback: 'A comprehensive account, which may well deepen one's understanding of the classical case.' Mathematika
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurCambridge University Press
- Date d'édition2008
- ISBN 10 0521070414
- ISBN 13 9780521070416
- ReliureBroché
- Langueanglais
- Numéro d'édition1
- Nombre de pages356
- Coordonnées du fabricantnon disponible
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Galois Theories (Cambridge Studies in Advanced Mathematics, Series Number 72)
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Cambridge University Press 2008-08-21, 2008
ISBN 10 : 0521070414
ISBN 13 : 9780521070416
Neuf
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Galois Theories (Cambridge Studies in Advanced Mathematics, Series Number 72)
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Cambridge University Press, 2008
ISBN 10 : 0521070414
ISBN 13 : 9780521070416
Neuf
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Galois Theories
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ISBN 13 : 9780521070416
Neuf
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Galois Theories
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ISBN 13 : 9780521070416
Neuf
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Galois Theories
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ISBN 13 : 9780521070416
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Galois Theories
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Cambridge University Press, 2008
ISBN 10 : 0521070414
ISBN 13 : 9780521070416
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Develops Galois theory in a much more general context than the undegraduate-style Galois theory of fields. In particular, the relationship with category theory is emphasized. Treats work by leading researchers in the field, and includes a comprehensive bibl. N° de réf. du vendeur 446923826
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Galois Theories
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Paperback. Etat : Brand New. 1st edition. 341 pages. 8.75x6.00x1.00 inches. In Stock. This item is printed on demand. N° de réf. du vendeur __0521070414
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Galois Theories
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Cambridge University Press, 2008
ISBN 10 : 0521070414
ISBN 13 : 9780521070416
Ancien ou d'occasion
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Galois Theories
Edité par
Cambridge University Press, 2008
ISBN 10 : 0521070414
ISBN 13 : 9780521070416
Ancien ou d'occasion
Couverture souple
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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Galois Theories (Paperback)
Edité par
Cambridge University Press, Cambridge, 2008
ISBN 10 : 0521070414
ISBN 13 : 9780521070416
Neuf
Paperback
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Paperback. Etat : new. Paperback. 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. Develops Galois theory in a much more general context than the undegraduate-style Galois theory of fields. In particular, the relationship with category theory is emphasized. Treats work by leading researchers in the field, and includes a comprehensive bibliography and index. Will be interesting for algebraists and category theorists. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780521070416
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