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Titlebook: Quadratic and Hermitian Forms over Rings; Max-Albert Knus Book 1991 Springer-Verlag Berlin Heidelberg 1991 Algebra.Clifford Algebren.Cliff

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Forms in Categories, 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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Grundlehren der mathematischen Wissenschaftenhttp://image.papertrans.cn/q/image/780056.jpg
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https://doi.org/10.1007/978-3-642-75401-2Algebra; Clifford Algebren; Clifford algebras; Dimension; Grad; Hermitesche Formen; K-theory; Quadratische
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Hermitian Forms over Rings,This first chapter gives the basic theory of hermitian and quadratic forms. Once the general formalism is introduced, we restrict to forms over finitely generated projective modules.
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Splitting and Cancellation Theorems,The main results of this quite technical chapter are the splitting, stability and cancellation theorems for unitary spaces. These results are unitary versions of theorems of Bass, Serre and Vaserstein for projective modules. For completeness we also present the linear results.
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978-3-642-75403-6Springer-Verlag Berlin Heidelberg 1991
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Quadratic and Hermitian Forms over Rings978-3-642-75401-2Series ISSN 0072-7830 Series E-ISSN 2196-9701
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