Algebras, Lattices, Varieties, Volume I
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A01=George F. McNulty
A01=Ralph N. McKenzie
A01=Walter F. Taylor
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Author_George F. McNulty
Author_Ralph N. McKenzie
Author_Walter F. Taylor
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Product details
- ISBN 9781470442958
- Weight: 835g
- Dimensions: 178 x 254mm
- Publication Date: 30 Jul 2018
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Hardback
- Language: English
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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.
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.
Ralph N. McKenzie, Vanderbilt University, Nashville, TN.
George F. McNulty, University of South Carolina, Columbia, SC.
Walter F. Taylor, University of Colorado, Boulder, CO.
George F. McNulty, University of South Carolina, Columbia, SC.
Walter F. Taylor, University of Colorado, Boulder, CO.
