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

By Bruce A. Magurn

this is often an creation to algebraic K-theory with out prerequisite past a primary semester of algebra (including Galois concept and modules over a significant perfect domain). The presentation is nearly solely self-contained, and is split into brief sections with routines to enhance the guidelines and recommend extra traces of inquiry. No event with research, geometry, quantity thought or topology is believed. in the context of linear algebra, K-theory organises and clarifies the family members between excellent type teams, workforce representations, quadratic kinds, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. via together with introductions to straightforward algebra issues (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. whether your algebra is rusty, you could learn this ebook; the mandatory 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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