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 techniques for operating with them.
The course covers big components of complicated combinatorics, geometry, linear and multilinear algebra, representation theory, category concept, commutative algebra, Galois idea, and algebraic geometry – themes which are frequently ignored in general undergraduate courses.
This textbook relies on classes the writer has carried out on the self sustaining collage of Moscow and at the school of arithmetic within the larger tuition 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