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Forms in Categories

Chapter
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Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 294)

Abstract

In this chapter we present the general theory of hermitians forms developed by Quebbemann et al. [1976]. Important tools are the reduction theorem and the transfer theorem. The first one is a far reaching generalization of the operation “working modulo the radical” and the second can be viewed as an abstract Morita theory. The main result is a Krull-Schmidt theorem for hermitian spaces.

Keywords

Local Ring Hyperbolic Space Division Ring Additive Category Coherent Sheave 
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 1991

Authors and Affiliations

  1. 1.Department MathematikETH-ZentrumZürichSwitzerland

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