Algebras, Lattices, Varieties

McKenzie, Ralph N.; McNulty, George F.; Taylor, Walter F.

ISBN 10: 1470442957 / ISBN 13: 9781470442958

Published by Amer Mathematical Society, 2018

Seller Inventory # 32752080-n

Synopsis:

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.

About the Author: Ralph N. McKenzie, Vanderbilt University, Nashville, TN.

George F. McNulty, University of South Carolina, Columbia, SC.

Walter F. Taylor, University of Colorado, Boulder, CO.

Bibliographic Details

Title: Algebras, Lattices, Varieties
Publisher: Amer Mathematical Society
Publication Date: 2018
Binding: Hardcover
Condition: New