| Document Type
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BL
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| Record Number
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850286
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| Main Entry
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Ford, Timothy J.,1954-
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| Title & Author
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Separable algebras /\ Timothy J. Ford.
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| Publication Statement
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Providence, Rhode Island :: American Mathematical Society,, [2017]
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| Series Statement
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Graduate studies in mathematics ;; 183
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| Page. NO
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xxi, 637 pages ;; 26 cm
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| ISBN
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1470437708
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: 9781470437701
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Background material on rings and modules -- Modules over commutative rings -- The Wedderburn-Artin Theorem -- Separable Algebras, definition and first properties -- Exercises -- Background material on homological algebra -- The divisor class group -- Azumaya algebras -- derivations, differentials and separability -- Etale algebras -- Henselization and splitting rings -- Galois extensions of commutative rings -- Crossed products and galois cohomology -- Further topics.
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| Subject
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Associative rings, Textbooks
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| Subject
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Separable algebras, Textbooks
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| Subject
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Algebraic geometry-- (Colo.)homology theory-- Étale and other Grothendieck topologies and (co)homologies.
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Algebraic geometry-- Local theory-- Local structure of morphisms: Étale, flat, etc.
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| Subject
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Associative rings and algebras-- Algebras and orders-- Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
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| Subject
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Associative rings and algebras-- Instructional exposition (textbooks, tutorial papers, etc.)
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| Subject
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Associative rings.
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| Subject
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Commutative algebra-- General commutative ring theory-- Ideals; multiplicative ideal theory.
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| Subject
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Commutative algebra-- Instructional exposition (textbooks, tutorial papers, etc.)
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Commutative algebra-- Ring extensions and related topics-- Étale and flat extensions; Henselization; Artin approximation.
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Commutative algebra-- Ring extensions and related topics-- Galois theory.
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Commutative algebra-- Theory of modules and ideals-- Class groups.
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| Subject
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Separable algebras.
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| Dewey Classification
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512/.46
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| LC Classification
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QA251.5.F67 2017
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| NLM classification
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13-01.msc
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16H0513A2013B4013B0513A1513C2014F2014B2516-0113-01msc
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