First Graduate Course in Abstract Algebra

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A01=W.J. Wickless
abelian
Abelian Group
Additive Abelian Group
advanced algebra exercises
Author_W.J. Wickless
Category=PBF
Commutative Ring
direct
Direct Sum Decomposition
Direct Summand
Distinct Irreducible Characters
Division Ring
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euclidean Domain
Finite Abelian Group
Finite Dimensional
Finite Direct Sum
Galois Extension
Galois Group
graduate abstract algebra course
group
Height Sequence
Jacobson Radical
Jordan canonical form
Maximal Left Ideal
minimal
Minimal Polynomial
module homomorphisms
normal
Normal Subgroup
polynomial
Prime Power Order
principal ideal domains
Proper Left Ideals
space
Splitting Field
subgroup
sum
Sylow subgroup analysis
tensor product theory
Torsion Free Groups
Universal Mapping Property
vector
Vector Space
Wedderburn Artin Theorem

Product details

  • ISBN 9780367394417
  • Weight: 340g
  • Dimensions: 152 x 229mm
  • Publication Date: 05 Sep 2019
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Since abstract algebra is so important to the study of advanced mathematics, it is critical that students have a firm grasp of its principles and underlying theories before moving on to further study. To accomplish this, they require a concise, accessible, user-friendly textbook that is both challenging and stimulating. A First Graduate Course in Abstract Algebra is just such a textbook. 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. A First Graduate Course in Abstract Algebra is ideal for a two-semester course, providing enough examples, problems, and exercises for a deep understanding. Each of the final three chapters is logically independent and can be covered in any order, perfect for a customized syllabus.
Wickless, W.J.

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