By Bruce A. Magurn

ISBN-10: 0521106583

ISBN-13: 9780521106580

ISBN-10: 0521800781

ISBN-13: 9780521800785

this can be an creation to algebraic K-theory without prerequisite past a primary semester of algebra (including Galois idea and modules over a vital perfect domain). The presentation is sort of solely self-contained, and is split into brief sections with routines to enhance the tips and recommend extra traces of inquiry. No adventure with research, geometry, quantity conception or topology is thought. in the context of linear algebra, K-theory organises and clarifies the relatives between excellent category teams, team representations, quadratic kinds, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. via 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. whether your algebra is rusty, you could learn this booklet; the required history 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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