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Realizing the specific needs of first-year graduate students, this reference allows readers to grasp and master fundamental concepts in abstract algebra. Prepares students for further studies in the mathematical sciences. Includes self-test exercises.
Covers the standard topics (groups, modules, rings, and vector spaces) associated with abstract algebra and advanced topics such as Galois fields, noncommutative rings, group extensions, and Abelian groups. This book illustrates the theory of finitely generated modules over principal ideal domains, and discusses tensor products.
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