Separable Algebras

Released on by Timothy J. Ford
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  • Separable Algebras Book Detail

  • Author : Timothy J. Ford
  • Release Date : 2017-09-26
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 664
  • ISBN 13 : 1470437708
  • File Size : 58,58 MB
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Separable Algebras by Timothy J. Ford PDF Summary

Book Description: This book presents a comprehensive introduction to the theory of separable algebras over commutative rings. After a thorough introduction to the general theory, the fundamental roles played by separable algebras are explored. For example, Azumaya algebras, the henselization of local rings, and Galois theory are rigorously introduced and treated. Interwoven throughout these applications is the important notion of étale algebras. Essential connections are drawn between the theory of separable algebras and Morita theory, the theory of faithfully flat descent, cohomology, derivations, differentials, reflexive lattices, maximal orders, and class groups. The text is accessible to graduate students who have finished a first course in algebra, and it includes necessary foundational material, useful exercises, and many nontrivial examples.

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