Introductory Lectures On Rings And Modules
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Introductory Lectures on Rings and Modules
Author: John A. Beachy
language: en
Publisher: Cambridge University Press
Release Date: 1999-04-22
A first-year graduate text or reference for advanced undergraduates on noncommutative aspects of rings and modules.
An Introduction to Rings and Modules
Author: A. J. Berrick
language: en
Publisher: Cambridge University Press
Release Date: 2000-05
This is a concise 2000 introduction at graduate level to ring theory, module theory and number theory.
Introduction to Ring and Module Theory
This textbook is designed for a first course in ring theory, module theory and category theory. Written following several decades of teaching experience, it stands out with its clear and engaging style, featuring thorough explanations and attention to detail. Carefully selected exercises encourage active learning and problem-solving. The textbook integrates elementary category theory with basic concepts and examples developed throughout the course. Although the primary focus is on rings and modules, relevant notions for other algebraic structures, such as groups and semigroups, are also discussed. Thus, this book aims at introducing students to noncommutative rings and modules within a broader algebraic context. Aimed at advanced undergraduates or master students in mathematics, this textbook is suitable both for use in the classroom and self-study. Whereas the first part of the book covers a basic course in ring and module theory, the latter part includes optional deepening topics.