An Algebraic Introduction to K-Theory (Encyclopedia of by Bruce A. Magurn PDF

By Bruce A. Magurn

ISBN-10: 0521106583

ISBN-13: 9780521106580

ISBN-10: 0521800781

ISBN-13: 9780521800785

this is often an creation to algebraic K-theory with out prerequisite past a primary semester of algebra (including Galois thought and modules over a vital excellent domain). The presentation is sort of fullyyt self-contained, and is split into brief sections with workouts to augment the information and recommend extra strains of inquiry. No adventure with research, geometry, quantity thought or topology is believed. in the context of linear algebra, K-theory organises and clarifies the relatives between excellent classification teams, workforce representations, quadratic types, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. by means of together with introductions to plain algebra subject matters (tensor items, localisation, Jacobson radical, chain stipulations, Dedekind domain names, semi-simple earrings, external algebras), the writer makes algebraic K-theory obtainable to first-year graduate scholars and different mathematically subtle readers. whether your algebra is rusty, you could learn this publication; the required 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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