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Algebra by Jens Carsten Jantzen, Joachim Schwermer

Algebra

by Jens Carsten Jantzen , Joachim Schwermer
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Book cover type: Paperback
  • ISBN13: 9783642405327
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Publication Date:
  • Pages: 458
  • Original Price: EUR 37.37
  • Language: German
  • Edition: 2., Korr. U. Er
  • Item Weight: 749 grams
  • BISAC Subject(s): Algebra / General

Ausgehend von einer grundlegenden Einführung in Begriffe und Methoden der Algebra werden im Buch die wesentlichen Ergebnisse dargestellt und ein Einblick in viele Entwicklungen innerhalb der Algebra gegeben, die mit anderen Gebieten der Mathematik stark verflochten sind.

Beginnend mit Begriffsbildungen wie Gruppe und Ring führt das Buch hin zu den Körpererweiterungen und der Galoistheorie. Danach werden zentrale Teile der Theorie der Moduln, Algebren und Ringe behandelt. Die Theorie der Divisionsalgebren und ihre Klassifikation mit Hilfe der Brauergruppe werden entwickelt. Es schlie en sich Einführungen in die algebraischen Zahlentheorie und die Theorie der quadratischen Formen an.

In zahlreichen Supplementen findet man Ausblicke auf weiterführende Themen. Betrachtet werden zum Beispiel allgemeine lineare Gruppen, Schiefpolynomringe, Darstellungen, Erweiterungen von Moduln, projektive Moduln und Frobenius-Algebren.

Prof. Dr. Jens Carsten Jantzen, Aarhus University, Department of Mathematics, Aarhus, Denmark
Prof. Dr. Joachim Schwermer, Universität Wien, Fakultät für Mathematik, Wien, Österreich

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