By Alexey L. Gorodentsev

This ebook 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 large components of complex combinatorics, geometry, linear and multilinear algebra, representation theory, category concept, commutative algebra, Galois thought, 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 collage of Moscow and at the school of arithmetic within the greater tuition of Economics. the most content material is complemented through 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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