Introductory Lectures on Rings and Modules (London Mathematical Society Student Texts, Series Number 47) 1st Edition by John A. Beachy (PDF)

Description

The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module theoretic approach to the Jacobson radical and the Artin-Wedderburn theorem; the use of Baer’s criterion for injectivity to prove the structure theorem for finitely generated modules over a principal ideal domain; and applications of the general theory to the representation theory of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie’s theorem. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates.

User’s Reviews

Editorial Reviews: Review “The lucid style, the detailed proofs and the many worked examples make this book highly recommendable.” Monatshefte fur Mathematik Book Description A first-year graduate text or reference for advanced undergraduates on noncommutative aspects of rings and modules.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐good

⭐This is a nice little book. It’s pretty thorough despite its size, and though dense it is clear enough to be easy to follow.

⭐

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