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 creation to algebraic K-theory with out prerequisite past a primary semester of algebra (including Galois idea and modules over a crucial excellent domain). The presentation is nearly completely self-contained, and is split into brief sections with workouts to augment the tips and recommend additional strains of inquiry. No event with research, geometry, quantity thought or topology is thought. in the context of linear algebra, K-theory organises and clarifies the family members between perfect category teams, crew representations, quadratic varieties, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. through together with introductions to plain algebra subject matters (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. whether your algebra is rusty, you could learn this ebook; the mandatory 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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