Algebra I: Textbook for Students of Mathematics by Alexey L. Gorodentsev

By Alexey L. Gorodentsev

This booklet is the 1st quantity of a radical “Russian-style” two-year graduate direction in summary algebra, and introduces readers to the fundamental algebraic buildings – fields, earrings, modules, algebras, teams, and different types – and explains the most ideas of and strategies for operating with them. The direction covers sizeable parts of complex combinatorics, geometry, linear and multilinear algebra, illustration conception, type idea, commutative algebra, Galois conception, and algebraic geometry – issues which are frequently neglected in commonplace undergraduate courses.
This textbook is predicated on classes the writer has performed on the self sufficient collage of Moscow and on the college of arithmetic within the greater university of Economics. the most content material is complemented by means of a wealth of routines for sophistication dialogue, a few of which come with reviews and tricks, in addition to difficulties for self reliant study.

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