Author: Alexey L. Gorodentsev
File Type: PDF / eBook / eTextbook
This book is the second volume of an intensive ?Russian-style? two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures ? fields, rings, modules, algebras, groups, and categories ? and explains the main principles of and methods for working with them.
The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry ? topics that are often overlooked in standard undergraduate courses.
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