num_pages: 385
description: 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.This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion some of which include comments and hints as well as problems for independent study.
language: English
title: Algebra II: Textbook for Students of Mathematics
publisher: Springer