Algebras, Lattices, Varieties (1) - Couverture rigide

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

Couverture rigide

ISBN 10 : 1470442957 ISBN 13 : 9781470442958

Editeur : American Mathematical Society, 2018

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.

A propos du livre

À propos de l'auteur

Ralph N. McKenzie, Vanderbilt University, Nashville, TN.

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

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

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1470442957
• ISBN 13: 9781470442958
• Reliure: Relié
• Nombre de pages: 368
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible