Modern Abstract Algebra

Modern Abstract Algebra

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This user-friendly volume provides a thorough and careful account of the core ideas arising in the study of groups, rings, and fields. Designed to show how elementary ideas can be developed into interesting and deeper mathematical results, the book provides a continual illustration of the most central ideas and standard techniques used in algebra. The book discusses the core notions at length, illustrates them with interesting examples, develops them into deeper and nontrivial results of mathematical interest and provides a wealth of exercises requiring their use. This comprehensive volume begins with an extensive review of basic concepts and moves on to groups, subgroups, normal subgroups and quotients, morphisms, structure theorems, conjugation, group actions, rings, ideals, quotients, and homomorphisms, factorization in integral domains, commutative rings, fields, and Galois theory. For those interested in a user-friendly treatment of abstract algebra.
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Product details

  • Hardback | 600 pages
  • Prentice-Hall
  • Harlow, United Kingdom
  • English
  • 0130894621
  • 9780130894625

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