First Graduate Course in Abstract Algebra

Zusatztext "This is a very useful text on abstract algebra at the beginning graduate level?the notions of tensor product and projectivity of modules is introduced early and serve in several places to simplify proofs?numerous worked out examples shed light on the abstract theory and help to understand what is going on." - Monatshefte für Mathematik Informationen zum Autor Wickless, W.J. Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis Preface. Groups (Mostly Finite). Rings (Mostly Domains). Modules. Vector Spaces. Fields and Galois Theory. Topics in Noncommutative Rings. Group Extensions. Topics in Abelian Groups. References. Index.

Product details

• Authors: W J Wickless, W. J. Wickless, W.J. Wickless, W.j. (University of Connecticut Wickless, Wickless Wickless, William Jennings Wickless
• Assisted by: Zuhair Nashed (Editor of the series), Earl Taft (Editor of the series)
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 29.03.2004
• EAN: 9780824756277
• ISBN: 978-0-8247-5627-7
• No. of pages: 250
• Series: Pure and Applied Mathematics; Chapman & Hall/CRC Pure and Applied Mathematics; Chapman & Hall/CRC Pure and Applied Mathematics
• Subjects: Guides; Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, MATHEMATICS / Algebra / General