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Galois Theories 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Francis Borceux 作者

Cambridge University Press

译者

2001-2-22 出版日期

356 页数

GBP 88.00 价格

Hardcover

丛书系列

9780521803090 图书编码

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发表于2024-11-29

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Galois Theories 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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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