Introduction to the Theory of Abstract Algebras

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.<br>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. <br>