By Alexey L. Gorodentsev
This ebook is the second one quantity of a thorough “Russian-style” two-year undergraduate direction in summary algebra, and introduces readers to the elemental algebraic constructions – fields, rings, modules, algebras, teams, and different types – and explains the most ideas of and strategies for operating with them.
The course covers sizeable components of complicated combinatorics, geometry, linear and multilinear algebra, representation theory, category conception, commutative algebra, Galois concept, and algebraic geometry – themes which are frequently ignored in ordinary undergraduate courses.
This textbook is predicated on classes the writer has carried out on the self reliant college of Moscow and at the college of arithmetic within the better institution of Economics. the most content material is complemented by way of a wealth of workouts for sophistication dialogue, a few of which come with reviews and tricks, in addition to difficulties for independent study.
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Additional info for Algebra II: Textbook for Students of Mathematics
Algebra II: Textbook for Students of Mathematics by Alexey L. Gorodentsev