By Bruce A. Magurn

ISBN-10: 0521106583

ISBN-13: 9780521106580

ISBN-10: 0521800781

ISBN-13: 9780521800785

This e-book is either an creation to K-theory and a textual content in algebra. those roles are solely appropriate. at the one hand, not anything greater than the elemental algebra of teams, earrings, and modules is required to provide an explanation for the clasical algebraic K-theory. however, K-theory is a typical organizing precept for a standard issues of a moment path in algebra, and those subject matters are awarded rigorously right here. The reader won't purely study algebraic K-theory, but in addition Dedekind domain names, classification teams, semisimple jewelry, personality thought, quadratic kinds, tensor items, localization, finishing touch, tensor algebras, symmetric algebras, external algebras, imperative uncomplicated algebras, and Brauer teams. The presentation is self-contained, with the entire worthy historical past and proofs, and is split into brief sections with routines to enhance the tips and recommend extra strains of inquiry. the necessities are minimum: only a first semester of algebra (including Galois idea and modules over a vital excellent domain). No event with homological algebra, research, geometry, quantity thought, or topology is believed. the writer has successfuly used this article to educate algebra to first 12 months graduate scholars. chosen themes can be utilized to build quite a few one-semester classes; insurance of the full textual content calls for a whole yr