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

By Bruce A. Magurn

this is often an creation to algebraic K-theory with out prerequisite past a primary semester of algebra (including Galois concept and modules over a important excellent domain). The presentation is sort of fullyyt self-contained, and is split into brief sections with workouts to augment the guidelines and recommend extra traces of inquiry. No adventure with research, geometry, quantity concept or topology is thought. in the context of linear algebra, K-theory organises and clarifies the relatives between perfect classification teams, crew representations, quadratic kinds, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. by means of together with introductions to straightforward 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 e-book; the mandatory history is the following, with proofs.

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