By Alexey L. Gorodentsev
This ebook is the second one quantity of a radical “Russian-style” two-year undergraduate direction in summary algebra, and introduces readers to the fundamental algebraic constructions – fields, rings, modules, algebras, teams, and different types – and explains the most rules of and strategies for operating with them.
The course covers colossal parts of complex combinatorics, geometry, linear and multilinear algebra, representation theory, category conception, commutative algebra, Galois concept, and algebraic geometry – issues which are frequently neglected in normal undergraduate courses.
This textbook is predicated on classes the writer has performed on the autonomous collage of Moscow and at the college of arithmetic within the larger institution of Economics. the most content material is complemented by means 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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Extra info for Algebra II: Textbook for Students of Mathematics
Algebra II: Textbook for Students of Mathematics by Alexey L. Gorodentsev