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Algebra pp 443-459 | Cite as

Morita Theorems and the Picard Group

  • Carl Faith
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 190)

Abstract

The Morita theorem stated and proved in Chapter 4 is taken up again in this chapter in expanded and more general form, to be used in the determination of the Picard group Pic (mod-A) of all k-linear auto-equivalences of mod-A for an arbitrary algebra A, and also (in Exercises for Chapter 12, and in Chapter 32) of the Brauer group of a commutative ring k.

Keywords

Commutative Ring Isomorphism Class Equivalence Data Picard Group Dedekind Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag, Berlin · Heidelberg 1973

Authors and Affiliations

  • Carl Faith
    • 1
  1. 1.Rutgers UniversityNew BrunswickUSA

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