Michel Broué's Some Topics in Algebra: An Advanced Undergraduate Course at PDF

By Michel Broué

ISBN-10: 3642412688

ISBN-13: 9783642412684

ISBN-10: 3662525054

ISBN-13: 9783662525050

During the springs of 2011 and 2012, the writer was once invited through Peking collage to provide a complicated undergraduate algebra direction (once every week over months each one year). This ebook was once written in the course of and for that direction. by means of no approach does it declare to be too exhaustive. It was once initially meant as a short advent to algebra for an exceptionally friendly and passionate viewers. It definitely displays many of the author’s personal tastes, and it was once motivated through the emotions and the reactions of the students.

Nevertheless, the end result covers a few complicated undergraduate algebra (rings, beliefs, fundamentals of fields thought, algebraic integers, modules, hom and tensor functors, projective modules, etc.) illustrated through a variety of examples, counterexamples and workouts. Following a world culture, the writer had deliberate to finish through lecturing at the constitution of finitely generated modules over significant perfect domain names. yet throughout the direction, after explaining that the concept of projective modules is extra traditional than the idea of loose modules, it grew to become transparent that central excellent domain names had to be changed by means of Dedekind earrings; this can be less conventional within the literature — yet no more difficult.

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Some Topics in Algebra: An Advanced Undergraduate Course at PKU (Mathematical Lectures from Peking University) by Michel Broué


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