Course in Modern Algebra

Informationen zum Autor Peter John Hilton was a British mathematician, noted for his contributions to homotopy theory and for code-breaking during the Second World War. Yel-Chiang Wu is the author of A Course in Modern Algebra, published by Wiley. Klappentext Contents: Prerequisite Set Theory; Chapter 1. Groups; 2. Abelian Groups; 3. Categories and Functors; 4. Modules; 5. Integral Domains; 6. Semisimple Rings; 7. The Functors Ext and Tor. List of Symbols and Bibliography. Index. Zusammenfassung In this text the authors take the reader from the elements of linear algebra past the frontier of homological algebra. They describe different algebraic domains and then emphasize the similarities and differences between them! employing the terminology of categories and functors. Inhaltsverzeichnis Partial table of contents: GROUPS. Cosets, Lagrange's Theorem, and Normal Subgroups. Direct and Free Products. ABELIAN GROUPS. Special Features of Commutative Groups. Exact Sequences of Abelian Groups. CATEGORIES AND FUNCTORS. Natural Transformations. Duality Principle. Adjoint Functors. MODULES. Rings. The Functor Hom. INTEGRAL DOMAINS. SEMI-SIMPLE RINGS. The Morita Theorem. THE FUNCTORS EXT AND TOR. List of Symbols. Bibliography. Index.

Product details

• Authors: Hilton, Anne Hilton, P Hilton, P. J. Wu Hilton, Peter Hilton, Peter (Battelle Seattle Research Center an Hilton, Peter John Wu Hilton, Peter Wu Hilton, HILTON PETER JOHN WU YEL CHIANG, Wu, Yel-Chiang Wu
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Paperback / Softback
• Released: 19.04.1989
• EAN: 9780471504054
• ISBN: 978-0-471-50405-4
• No. of pages: 264
• Series: Wiley Classics Library; Wiley Classics Library
• Subject: Natural sciences, medicine, IT, technology > Mathematics