Algebra ITextbook for Students of Mathematics\nAuthor(s): Alexey L. Gorodentsev\nFormat: Hardback\nPublisher: Springer International Publishing AG, Switzerland\nImprint: Springer International Publishing AG\nISBN-13: 9783319452845, 978-3319452845\nSynopsis\nThis book is the first volume of an intensive Russian-style two-year graduate 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. \n\nThecourse covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra,representation theory,category theory, commutative algebra, Galois theory, and algebraicgeometry topics that are often overlooked in standard undergraduate courses.\n\nThis textbook is based on courses the author has conducted at the Independent University of Moscow and atthe Faculty of Mathematics in the Higher School of Economics. The m.