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 strategies for operating with them.
The course covers immense components of complex combinatorics, geometry, linear and multilinear algebra, representation theory, category thought, commutative algebra, Galois thought, and algebraic geometry – issues which are frequently ignored in commonplace undergraduate courses.
This textbook is predicated on classes the writer has carried out on the self sustaining college of Moscow and at the school of arithmetic within the greater institution 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