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Separable Algebras
About this Title
Timothy J. Ford, Florida Atlantic University, Boca Raton, FL
Publication: Graduate Studies in Mathematics
Publication Year:
2017; Volume 183
ISBNs: 978-1-4704-3770-1 (print); 978-1-4704-4230-9 (online)
DOI: https://doi.org/10.1090/gsm/183
MathSciNet review: MR3618889
MSC: Primary 16-01; Secondary 13-01, 13C20, 16H05
Table of Contents
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Front/Back Matter
Chapters
- Background material on rings and modules
- Modules over commutative rings
- The Wedderburn-Artin theorem
- Separable algebras, definition and first properties
- Background material on homological algebra
- The divisor class group
- Azumaya algebras, I
- Derivations, differentials and separability
- Étale algebras
- Henselization and splitting rings
- Azumaya algebras, II
- Galois extensions of commutative rings
- Crossed products and Galois cohomology
- Further topics
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