Further Algebra and Applications

2003. Auflage 2002
ISBN: 978-1-85233-667-7
Verlag: Springer

Buch, Englisch, 451 Seiten, Format (B × H): 166 mm x 240 mm, Gewicht: 830 g

Further Algebra and Applications is the second volume of a new and revised edition of P.M. Cohn's classic three-volume text "Algebra" which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students.
The first volume, "Basic Algebra", covers the important results of algebra; this companion volume focuses on the applications and covers the more advanced parts of topics such as:
- groups and algebras
- homological algebra
- universal algebra
- general ring theory
- representations of finite groups
- coding theory
- languages and automata
The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks.

Zielgruppe

Research

Autoren/Hrsg.

Cohn, Paul M

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

1. Universal algebra.- 2. Homological algebra.- 3. Further group theory.- 4. Algebras.- 5. Central simple algebras.- 6. Representation theory of finite groups.- 7. Noetherian rings and polynomial identities.- 8. Rings without finiteness assumptions.- 9. Skew fields.- 10. Coding theory.- 11. Languages and automata.- List of Notations.- Author Index.