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

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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 idea and modules over a valuable perfect domain). The presentation is nearly fullyyt self-contained, and is split into brief sections with workouts to enhance the tips and recommend extra strains of inquiry. No event with research, geometry, quantity concept or topology is thought. in the context of linear algebra, K-theory organises and clarifies the kinfolk between excellent classification teams, team representations, quadratic types, 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 earrings, external algebras), the writer makes algebraic K-theory available to first-year graduate scholars and different mathematically subtle readers. no matter if your algebra is rusty, you could learn this publication; 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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