Hostname: page-component-7dd5485656-gs9qr Total loading time: 0 Render date: 2025-10-30T22:15:25.625Z Has data issue: false hasContentIssue false
  • English
  • Français

The Hilbert function of the tensor product of two multigraded modules

Published online by Cambridge University Press:  26 February 2010

D. G. Northcott
D. G. Northcott
Affiliation:
The University, Sheffield.
Get access

Extract

The theorem proved in this paper is basic for a general intersection theory applicable to multigraded polynomial rings. When the polynomial ring is graded by the non-negative integers the facts, in one form or another, are well known, but on passing to more general gradings fresh complications appear. These are not wholly trivial and, as the author was unable to find an account of these matters in the literature, it may be of interest if one is given here.

Information

Type
Research Article
Information
Mathematika , Volume 10 , Issue 1 , June 1963 , pp. 43 - 57
Copyright
Copyright © University College London 1963

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

1. Bourbaki, N., Eléménts de Mathématique, Livre II, Chapitre III (Algèbre Multilinéaire), Actualités Scientifiques et Industrielles, No. 1044 (Hermann, 1948).Google Scholar
2. Schiffels, G., Graduierte Ringe und Moduln, Bonner Math. Schriften, Nr. 11 (1960).Google Scholar
3. Zariski, O. and Samuel, P., Commutative algebra, Vol. 1 (van Nostrand, 1958).Google Scholar