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

By Bruce A. Magurn

this can be an advent to algebraic K-theory with out prerequisite past a primary semester of algebra (including Galois thought and modules over a significant perfect domain). The presentation is nearly totally self-contained, and is split into brief sections with workouts to enhance the guidelines and recommend extra strains of inquiry. No event with research, geometry, quantity idea or topology is believed. in the context of linear algebra, K-theory organises and clarifies the kinfolk between perfect classification teams, team representations, quadratic kinds, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. by way of together with introductions to straightforward 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 ebook; the required history is right here, with proofs.

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