Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-28T09:58:50.577Z Has data issue: false hasContentIssue false
  • English
  • Français

Elimination from Homogeneous Polynomials Over a Polynomial Ring

Published online by Cambridge University Press:  20 November 2018

John G. Stevens
John G. Stevens*
Affiliation:
Montclair State College, Upper Montclair, New Jersey
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let Ω be a field and Γ a parameter. We designate the set of all polynomials homogeneous in (X) = (X1, … , Xn) with coefficients in Ω [Γ] by H Ω Γ[X] and write such polynomials as F, F(X), or F(X, Γ). The degree of a polynomial in H Ω Γ [X] shall mean the degree in (X). Let I = (F1 … , Fr) be a fixed ideal in H Ω Γ [X] generated by F1 … , Fr.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 6 , 01 December 1976 , pp. 1269 - 1276
Copyright
Copyright © Canadian Mathematical Society 1976

References

1. Dwork, Bernard, On the zeta function of a hyper surf ace III, Ann. of Math. 83 (I960), 457–519.Google Scholar
2. Ehrenpreis, Leon, Fourier analysis in several complex variables (Wiley-Interscience Publishers, New York 1970).Google Scholar
3. Jacobson, Nathan, Lectures in abstract algebra, II, Chap. Ill (D. Van Nostrand Company, Inc., New York 1953).Google Scholar
4. Van, B. L. der Waerden, Modern algebra, II, Chap. XI (Frederick Ungar Publishing Co., New York 1953).Google Scholar