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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This text is designed to give students insight into the main themes in abstract algebra. Early introduction to recurring notions such as homomorphisms, isomorphisms, actions, and classifications provides a natural flow for the development of basic abstract algebra. Students are immediately exposed to concepts the way an algebraist (or mathematician) envisions and works with them.

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