A Guide to Groups, Rings, and Fields


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Algebraic structures have come to be ubiquitous in mathematics, with almost all mathematicians encountering groups, rings, fields or more exotic related objects during the course of their research. This book presents an overview of some of the most important algebraic structures in modern mathematics, with an emphasis on creating a coherent picture of how they all interact. In addition to the standard material on groups, rings, modules, fields and Galois theory, the book includes discussions of other important topics, ...

A Guide to Groups, Rings, and Fields 2013, Mathematical Association of America, Washington

ISBN-13: 9780883853559