A First Graduate Course in Abstract Algebra Chapman & Hall/CRC Pure and Applied Mathematics Series
Auteur : Wickless W.J.
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.
Date de parution : 09-2019
15.2x22.9 cm
Date de parution : 03-2004
Ouvrage de 250 p.
15.2x22.9 cm
Thèmes d’A First Graduate Course in Abstract Algebra :
Mots-clés :
Abelian Group; abelian; Finite Abelian Group; group; Minimal Polynomial; direct; Galois Extension; sum; Universal Mapping Property; vector; Additive Abelian Group; space; Normal Subgroup; minimal; Direct Summand; polynomial; Direct Sum Decomposition; normal; Vector Space; subgroup; Prime Power Order; Commutative Ring; Splitting Field; Division Ring; Galois Group; Height Sequence; Proper Left Ideals; Jacobson Radical; Torsion Free Groups; Maximal Left Ideal; Wedderburn Artin Theorem; Distinct Irreducible Characters; Euclidean Domain; Finite Direct Sum; Finite Dimensional