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Relatively Complete Fields

Published online by Cambridge University Press:  20 January 2009

F. J. Rayner
F. J. Rayner
Affiliation:
Department of Mathematics, The University, Glasgow, W. 2
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Let K be a valued field, let v denote its valuation and B its valuation ring. Let P denote the valuation ideal. For each a in B, let ā denote the residue class a + P in the field B/P; for f(x)=∑arxr in B[x], let f(x) denote ∑ārxr in B/P[x]. Let Λp denote the leading coefficient of a polynomial p, and ∂p the degree of a non-zero polynomial.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 11 , Issue 2 , November 1958 , pp. 131 - 133
Copyright
Copyright © Edinburgh Mathematical Society 1958

References

REFERENCES

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(3) Schilling, O. F. G., Theory of Valuations, New York, 1950.CrossRefGoogle Scholar