By Alexey L. Gorodentsev
This publication is the second one quantity of a radical “Russian-style” two-year undergraduate direction in summary algebra, and introduces readers to the elemental algebraic buildings – fields, rings, modules, algebras, teams, and different types – and explains the most rules of and strategies for operating with them.
The course covers big parts of complicated combinatorics, geometry, linear and multilinear algebra, representation theory, category idea, commutative algebra, Galois thought, and algebraic geometry – issues which are usually ignored in common undergraduate courses.
This textbook relies on classes the writer has carried out on the self reliant college of Moscow and at the school of arithmetic within the greater institution of Economics. the most content material is complemented via 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