Read e-book online An Algebraic Introduction to K-Theory (Encyclopedia of PDF

By Bruce A. Magurn

ISBN-10: 0521106583

ISBN-13: 9780521106580

ISBN-10: 0521800781

ISBN-13: 9780521800785

this is often an advent to algebraic K-theory without prerequisite past a primary semester of algebra (including Galois concept and modules over a crucial excellent domain). The presentation is nearly fullyyt self-contained, and is split into brief sections with workouts to augment the information and recommend extra traces of inquiry. No adventure with research, geometry, quantity thought or topology is thought. in the context of linear algebra, K-theory organises and clarifies the kin between perfect classification teams, workforce representations, quadratic varieties, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. by means of together with introductions to plain algebra issues (tensor items, localisation, Jacobson radical, chain stipulations, Dedekind domain names, semi-simple jewelry, external algebras), the writer makes algebraic K-theory obtainable to first-year graduate scholars and different mathematically subtle readers. no matter if your algebra is rusty, you could learn this publication; the mandatory historical past is the following, with proofs.

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An Algebraic Introduction to K-Theory (Encyclopedia of Mathematics and its Applications) by Bruce A. Magurn

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