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A Note on Resultants of Equations in a Cyclic Number System

Published online by Cambridge University Press:  20 January 2009

R. Wilson
R. Wilson
Affiliation:
University College, Swansea.
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§ 1. Introduction. Little is known concerning the theory of resultants of equations other than in the complex number system. The cyclic number systems provide a simple example which is not a division algebra. In such a system with n units er. any number y ≡ y0 + y1e1 + y2e2 + … + yn−1en−1 has coefficients yr drawn from a field, and the units satisfy the product law:

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 3 , Issue 1 , March 1932 , pp. 26 - 29
Copyright
Copyright © Edinburgh Mathematical Society 1932