By Alexey L. Gorodentsev
This booklet is the second one quantity of a radical “Russian-style” two-year undergraduate direction 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 great components of complex combinatorics, geometry, linear and multilinear algebra, representation theory, category concept, commutative algebra, Galois concept, and algebraic geometry – themes which are frequently neglected in usual undergraduate courses.
This textbook is predicated on classes the writer has carried out on the self sustaining collage of Moscow and at the college of arithmetic within the larger 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