Algebras, lattices, varieties. Volume I / Ralph N. McKenzie, George F. McNulty, Walter F. Taylor.

Format:

Book

Author/Creator:

McKenzie, Ralph, author.

McNulty, George F., 1945- author.

Taylor, W. (Walter), 1940- author.

Series:

AMS Chelsea Publishing ; v. 383.

AMS Chelsea Publishing ser. 383

Language:

English

Subjects (All):

Algebra, Universal.

Lattice theory.

Varieties (Universal algebra).

Physical Description:

1 online resource (386 pages)

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2018.

Summary:

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.

Notes:

"Reprinted with corrections by the American Mathematical Society, 2018"--Title page verso.

Includes bibliographical references and indexes.

Description based on print version record.

ISBN:

9781470447199

1470447193