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The Norm of a Skew Polynomial

机译:The Norm of a Skew Polynomial

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摘要

Let D be a finite-dimensional division algebra over its center and R = Dt;sigma,delta a skew polynomial ring. Under certain assumptions on delta and sigma, the ring of central quotients D(t;sigma,delta) = {f/gf is an element of Dt;sigma,delta,g is an element of C(Dt;sigma,delta)} of Dt;sigma,delta is a central simple algebra with reduced norm N. We calculate the norm N(f) for some skew polynomials f is an element of R and investigate when and how the reducibility of N(f) reflects the reducibility of f.

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