Overview
Let M be a finitely generated projective nonsinguiar quadratic module over a commutative ring. This chapter establishes the basic structure theory of the Clifford algebra C(M) and its subalgebras C0(M), A(M), Cen C(M) and Cen C0(M). It will be proved that both C(M) and C0(M) are separable. For a faithful M it will be shown that the Arf algebra A(M) is separable quadratic, and that the following equivalences hold:
and
.
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© 1994 Springer-Verlag New York, Inc.
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Hahn, A.J. (1994). Structure of Clifford and Arf Algebras. In: Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-6311-8_11
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DOI: https://doi.org/10.1007/978-1-4684-6311-8_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94110-3
Online ISBN: 978-1-4684-6311-8
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