Forms in Categories
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In this chapter we present the general theory of hermitians forms developed by Quebbemann et al. . 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.
KeywordsLocal Ring Hyperbolic Space Division Ring Additive Category Coherent Sheave
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