By Alexey L. Gorodentsev
This booklet 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 ideas of and strategies for operating with them.
The course covers vast components of complex combinatorics, geometry, linear and multilinear algebra, representation theory, category conception, commutative algebra, Galois thought, and algebraic geometry – issues which are frequently neglected in usual 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 better institution of Economics. the most content material is complemented by way 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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Algebra II: Textbook for Students of Mathematics by Alexey L. Gorodentsev