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

By Bruce A. Magurn

this is often an creation to algebraic K-theory without prerequisite past a primary semester of algebra (including Galois idea and modules over a critical perfect domain). The presentation is sort of fullyyt self-contained, and is split into brief sections with workouts to augment the information and recommend additional strains of inquiry. No adventure with research, geometry, quantity concept or topology is believed. in the context of linear algebra, K-theory organises and clarifies the kin between perfect category teams, staff representations, quadratic types, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. by means of together with introductions to plain algebra issues (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 booklet; 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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