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

By Bruce A. Magurn

this can be an creation to algebraic K-theory without prerequisite past a primary semester of algebra (including Galois conception and modules over a imperative excellent domain). The presentation is sort of fullyyt self-contained, and is split into brief sections with workouts to enhance the information and recommend extra traces of inquiry. No event with research, geometry, quantity conception or topology is believed. in the context of linear algebra, K-theory organises and clarifies the kin between perfect classification teams, workforce representations, quadratic types, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. by way of together with introductions to plain algebra issues (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 refined 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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