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Download e-book for kindle: An Algebraic Introduction to K-Theory (Encyclopedia of by Bruce A. Magurn

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By Bruce A. Magurn

this is often an advent 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 nearly fullyyt self-contained, and is split into brief sections with workouts to enhance the tips and recommend additional strains of inquiry. No adventure with research, geometry, quantity thought or topology is believed. in the context of linear algebra, K-theory organises and clarifies the kinfolk between excellent type teams, team representations, quadratic varieties, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. through together with introductions to straightforward algebra issues (tensor items, localisation, Jacobson radical, chain stipulations, Dedekind domain names, semi-simple jewelry, 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 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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