A First Course in Abstract Algebra, Seventh Edition
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Posted on 2010-01-28. By anonymous.
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Review
“This is a very useful text on abstract algebra at the beginning graduate levelthe notions of tensor product and projectivity of modules is introduced early and serve in several places to simplify proofsnumerous worked out examples shed light on the abstract theory and help to understand what is going on.” – Monatshefte f]r Mathematik
Product Description
Divided into two sections, this book covers both the standard topics (groups, modules, rings, and vector spaces) associated with abstract algebra and more advanced topics such as Galois fields, noncommutative rings, group extensions, and Abelian groups. The author includes review material where needed instead of in a single chapter, giving convenient access with minimal page turning. He also provides ample examples, exercises, and problem sets to reinforce the material. This book illustrates the theory of finitely generated modules over principal ideal domains, discusses tensor products, and demonstrates the development of determinants. It also covers Sylow theory and Jordan canonical form.
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