Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Galois Theories
  • Cited by 39
      • Show more authors
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Cambridge University Press
      Publication date:
      January 2010
      February 2001
      ISBN:
      9780511619939
      9780521803090
      9780521070416
      DOI:
      https://doi.org/10.1017/CBO9780511619939
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.617kg, 356 Pages
      Dimensions:
      (229 x 152 mm)
      Weight & Pages:
      0.52kg, 356 Pages
      • Subjects:
      Mathematics (general), Mathematics, Logic, Categories and Sets, Algebra
      Series:
      Cambridge Studies in Advanced Mathematics (72)
    You may already have access via personal or institutional login
    • Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Mathematics (general), Mathematics, Logic, Categories and Sets, Algebra
    Series:
    Cambridge Studies in Advanced Mathematics (72)
    Information

    Book description

    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.

    Reviews

    Review of the hardback:‘This book is a beautiful presentation of Janelidze’s general categorical Galois theory … a rewarding read.’

    László Márki Source: 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.’

    Source: Proceedings of the Edinburgh Mathematical Society

    Review of the hardback:'A comprehensive account, which may well deepen one's understanding of the classical case.'

    Source: Mathematika

    Refine List

    Actions for selected content:

    Select all | Deselect all
    • View selected items
    • Export citations
    • Download PDF (zip)
    • Save to Kindle
    • Save to Dropbox
    • Save to Google Drive

    Save Search

    You can save your searches here and later view and run them again in "My saved searches".

    Please provide a title, maximum of 40 characters.
    Cancel
    ×

    Contents

    Contents

    Metrics

    Altmetric attention score

    Full text views

    Total number of HTML views: 0
    Total number of PDF views: 0 *
    Loading metrics...

    Book summary page views

    Total views: 0 *
    Loading metrics...

    * Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

    Usage data cannot currently be displayed.

    Accessibility standard: Unknown

    Why this information is here

    This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

    Accessibility Information

    Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.