Separable Algebras Ford Hardback MP–AMM American Mathematical 9781470437701
Separable AlgebrasAuthor(s): Timothy J. Ford\nFormat: Hardback\nPublisher: American Mathematical Society, United States\nImprint: American Mathematical Society\nISBN-13: 9781470437701, 978-1470437701\nSynopsis\nThis 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 etale 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.\n\nThe text is accessible to graduate students who have finished a first course in algebra, and it includes necessary foundational.
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