Algebras, Lattices, Varieties
eBook - PDF

Algebras, Lattices, Varieties

Volume I

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Algebras, Lattices, Varieties

Volume I

About this book

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

Table of contents

  1. Cover
  2. Title
  3. Preface
  4. Contents
  5. Preface to the Chelsea Edition
  6. Introduction
  7. Preliminaries
  8. 1. Basic Concepts
  9. 2. Lattices
  10. 3. Unary and Binary Operations
  11. 4. Fundamental Algebraic Results
  12. 5. Unique Factorization
  13. Bibliography
  14. Table of Notation
  15. Index of Names
  16. Index of Terms
  17. Additional Bibliography
  18. List of Errata