Separable Algebras
Timothy J. Ford
Sep 2017 · American Mathematical Soc.
Kitabu pepe
637
Kurasa
reportUkadiriaji na maoni hayajahakikishwa Pata Maelezo Zaidi
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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.
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.
Kuhusu mwandishi
Timothy J. Ford: Florida Atlantic University, Boca Raton, FL
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