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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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Descent Theory and Cohomology,involutions on Azumaya algebras and, in the last section, we introduce twisted forms of the pfaffian of an alternating matrix. These twisted forms are quite useful in the study of forms of rank 5 and 6.
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0072-7830 eld or the ring of integers. Only as late as 1937 were the foundations of a theory over an arbitrary field laid. This was in a famous paper by Ernst Witt. Still too early, apparently, because it took another 25 years for the ideas of Witt to be pursued, notably by Albrecht Pfister, and expanded into
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Descent Theory and Cohomology,the notion of twisted forms plays an important role. In Chapter III we develop this technique and the corresponding cohomological tools. Applications are given to discriminant modules, quadratic algebras, Azumaya algebras and projective modules of rank one over quaternion algebras. Finally we study
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Forms of Low Rank,anguren-Sridharan [1978], Knus-Paques [1985], Knus [1988], Knus- Parimala-Sridharan [1989] and Knus-Parimala-Sridharan [1990] are given without explicit references. For forms of rank ≤6 we compute the invariants and discuss how far they determine the forms. If the rank is odd we usually consider sem
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Book 1991 ring of integers. Only as late as 1937 were the foundations of a theory over an arbitrary field laid. This was in a famous paper by Ernst Witt. Still too early, apparently, because it took another 25 years for the ideas of Witt to be pursued, notably by Albrecht Pfister, and expanded into a full br
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Max-Albert Knusentially fundamental change in the availability of ecological services (including life support services) of value to humanity. Indeed, what makes the field of ecological economics distinct from the more traditional economic approach to the management of the natural environment is precisely its focus
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