AMS Chelsea Publishing: Algebras, Lattices, Varieties: Volume I
Ralph N. McKenzie · George F. McNulty · Walter F. Taylor
Jul 2018 · AMS Chelsea Publishing Issue #1 · American Mathematical Society
Ebook
368
Pages
reportRatings and reviews aren’t verified Learn More
About this ebook
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
Rate this ebook
Tell us what you think.
Reading information
Smartphones and tablets
Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.
Laptops and computers
You can listen to audiobooks purchased on Google Play using your computer's web browser.
eReaders and other devices
To read on e-ink devices like Kobo eReaders, you'll need to download a file and transfer it to your device. Follow the detailed Help Center instructions to transfer the files to supported eReaders.
