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By Alexey L. Gorodentsev

This publication is the second one quantity of a radical “Russian-style” two-year undergraduate path in summary algebra, and introduces readers to the fundamental algebraic buildings – fields, rings, modules, algebras, teams, and different types – and explains the most rules of and techniques for operating with them.

The course covers vast components of complex combinatorics, geometry, linear and multilinear algebra, representation theory, category thought, commutative algebra, Galois concept, and algebraic geometry – themes which are frequently neglected in normal undergraduate courses.

This textbook relies on classes the writer has performed on the self sufficient collage of Moscow and at the college of arithmetic within the larger institution of Economics. the most content material is complemented via 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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Algebra II: Textbook for Students of Mathematics by Alexey L. Gorodentsev


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