An Algebraic Introduction to K-Theory (Encyclopedia of - download pdf or read online

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 with out prerequisite past a primary semester of algebra (including Galois conception and modules over a central excellent domain). The presentation is nearly totally self-contained, and is split into brief sections with routines to enhance the information and recommend additional strains of inquiry. No adventure with research, geometry, quantity idea or topology is believed. in the context of linear algebra, K-theory organises and clarifies the kin between excellent category teams, team representations, quadratic kinds, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. through together with introductions to straightforward algebra themes (tensor items, localisation, Jacobson radical, chain stipulations, Dedekind domain names, semi-simple jewelry, external algebras), the writer makes algebraic K-theory available to first-year graduate scholars and different mathematically refined readers. no matter if your algebra is rusty, you could learn this e-book; the required heritage is right here, 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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