This book presents the foundations of a general theory of algebras. Often called "universal algebra", this theory provides a common framework for all algebraic systems, including groups, rings, modules, fields, and lattices. Each chapter is replete with useful illustrations and exercises that solidify the reader's understanding.The book begins by developing the main concepts and working tools of algebras and lattices, and continues with examples of classical algebraic systems like groups, semigroups, monoids, and categories. The essence of the book lies in Chapter 4, which provides not only basic concepts and results of general algebra, but also the perspectives and intuitions shared by practitioners of the field. The book finishes with a study of possible uniqueness of factorizations of an algebra into a direct product of directly indecomposable algebras.There is enough material in this text for a two semester course sequence, but a one semester course could also focus primarily on Chapter 4, with additional topics selected from throughout the text.

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Yes, you can access Algebras, Lattices, Varieties by Ralph N. McKenzie, George F. McNulty, Walter F. Taylor in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher

American Mathematical Society

Year

2018

ISBN

9781470447199

Topic

Mathematics

Subtopic

Algebra

Index

Mathematics

Cover
Title
Preface
Contents
Preface to the Chelsea Edition
Introduction
Preliminaries
1. Basic Concepts
2. Lattices
3. Unary and Binary Operations
4. Fundamental Algebraic Results
5. Unique Factorization
Bibliography
Table of Notation
Index of Names
Index of Terms
Additional Bibliography
List of Errata