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.
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© 1991 Springer-Verlag Berlin Heidelberg
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Knus, MA. (1991). Forms in Categories. In: Quadratic and Hermitian Forms over Rings. Grundlehren der mathematischen Wissenschaften, vol 294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75401-2_2
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DOI: https://doi.org/10.1007/978-3-642-75401-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-75403-6
Online ISBN: 978-3-642-75401-2
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