By Alexey L. Gorodentsev
This e-book is the second one quantity of a thorough “Russian-style” two-year undergraduate direction in summary algebra, and introduces readers to the fundamental algebraic buildings – fields, rings, modules, algebras, teams, and different types – and explains the most ideas of and strategies for operating with them.
The course covers massive components of complicated combinatorics, geometry, linear and multilinear algebra, representation theory, category concept, commutative algebra, Galois concept, and algebraic geometry – subject matters which are usually neglected in typical undergraduate courses.
This textbook relies on classes the writer has performed on the autonomous college of Moscow and at the college of arithmetic within the larger college of Economics. the most content material is complemented by way of a wealth of routines for sophistication dialogue, a few of which come with reviews and tricks, in addition to difficulties for independent study.
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Algebra II: Textbook for Students of Mathematics by Alexey L. Gorodentsev