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Introduction to the Theory of Abstract Algebras (Dover Books on MaTHEMA 1.4tics) - Softcover

Book 259 of 302: Dover Books on Mathematics

Pierce, Richard

 
9780486789989: Introduction to the Theory of Abstract Algebras (Dover Books on MaTHEMA 1.4tics)

Synopsis

Suitable for introductory graduate-level courses and independent study, this text presents the basic definitions of the theory of abstract algebra. Following introductory material, each of four chapters focuses on a major theme of universal algebra: subdirect decompositions, direct decompositions, free algebras, and varieties of algebra. Problems and a bibliography supplement the text.

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About the Author

Richard S. Pierce was Professor of Mathematics at the University of Washington in Seattle.

From the Back Cover

Intended for beginning graduate-level courses, this text introduces various aspects of the theory of abstract algebra. The book is also suitable as independent reading for interested students at that level as well as a primary source for a one-semester course that an instructor may supplement to expand to a full year. Author Richard S. Pierce, a Professor of Mathematics at Seattle's University of Washington, places considerable emphasis on applications of the theory and focuses particularly on lattice theory.
After a preliminary review of set theory, the treatment presents the basic definitions of the theory of abstract algebras. Each of the next four chapters focuses on a major theme of universal algebra: subdirect decompositions, direct decompositions, free algebras, and varieties of algebras. Problems and a Bibliography supplement the text.
Dover (2014) republication of the edition originally published by Holt, Rinehart & Winston, New York, 1968.
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