Algebra II (PDF)
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This book is the second volume of an intensive "Russian-style" two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures - fields, rings, modules, algebras, groups, and categories - and explains the main principles of and methods for working with them.
The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry - topics that are often overlooked in standard undergraduate courses.
He is working in the field of algebraic and symplectic geometry, homological algebra and representation theory connected with geometry of algebraic and symplectic varieties.
He is one of the first developers of the "Helix Theory" and semiorthogonal decomposition technique for studying the derived categories of coherent sheaves.
- Autor: Alexey L. Gorodentsev
- 2017, 1st ed. 2017, 370 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319508539
- ISBN-13: 9783319508535
- Erscheinungsdatum: 12.02.2017
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
- Dateiformat: PDF
- Größe: 6.98 MB
- Ohne Kopierschutz
- Vorlesefunktion
“This textbook contains fourteen chapters furnished with a lot of examples, counterexamples and numerous exercises, some of which are provided with commentary and hints, as well as problems for independent solution that were assigned as homework. … This textbook is self-contained, well written and recommended to undergraduate, graduate and Ph. D. students and it might be very useful for advanced algebra lectures as well.” (Marek Golasiński, zbMATH, Vol. 1365.13001, 2017)
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