An Introduction To Module Theory
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An Introduction to Module Theory
This textbook is a modern and accessible account of module theory and is intended for a graduate course on the topic. Written by two specialists, it is addressed to graduate students in algebra, or to students who need algebraic tools in their work. It features a large number of examples worked out in detail, figures and exercises.
A First Course in Module Theory
Author: M. E. Keating
language: en
Publisher: World Scientific Publishing Company
Release Date: 1998-01-01
An introduction to module theory for students with some knowledge of linear algebra and elementary ring theory. Expounds the basics of module theory, including methods of comparing, constructing and decomposing modules, then presents the structure theory of modules over Euclidean domains. Concluding chapters look at two standard forms for a square matrix, and projective modules over rings in general. Annotation copyrighted by Book News, Inc., Portland, OR
Foundations of Module and Ring Theory
Translated (with the addition of a number of new results, exercises, and references) from the German original of 1988 (Verlag Reinhard Fischer, Munich), this volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work. Starting from a basic understanding of linear algebra, the theory is presented with complete proofs. For undergraduate, graduate, and research level mathematicians working in algebra, module, and ring theory. Annotation copyrighted by Book News, Inc., Portland, OR