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OverviewThis 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. Full Product DetailsAuthor: Ralph N. McKenzie , George F. McNulty , Walter F. TaylorPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.835kg ISBN: 9781470442958ISBN 10: 1470442957 Pages: 368 Publication Date: 30 July 2018 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsBasic concepts Lattices Unary and binary operations Fundamental algebraic results Unique factorization Bibliography Additional bibliography List of errata Table of notation Index of names Index of termsReviewsAuthor InformationRalph N. McKenzie, Vanderbilt University, Nashville, TN. George F. McNulty, University of South Carolina, Columbia, SC. Walter F. Taylor, University of Colorado, Boulder, CO. Tab Content 6Author Website:Countries AvailableAll regions |