The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises throughout to aid the reader's understanding.This edition includes substantial new material in areas that include: tensor products, commutative rings, algebraic number theory and introductory algebraic geometry. Also, includes rings of algebraic integers, semidirect products and splitting of extensions, criteria for the solvability. of a quintic, and Dedekind Domains.
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Reflects the authors' belief that readers should be given some insight into the the main themes of abstract algebra, as well as an understanding of how these themes provide a unifying framework for the study of basic algebra structures, such as groups, rings and fields.
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