Hostname: page-component-7479d7b7d-t6hkb Total loading time: 0 Render date: 2024-07-13T13:16:07.939Z Has data issue: false hasContentIssue false

On Homogeneous Ideals

Published online by Cambridge University Press:  18 May 2009

D. G. Northcott
Affiliation:
The University of Sheffield
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.

The modern algebraic treatment of geometry in projective spaces focuses attention on the properties of homogeneous ideals in polynomial and power-series rings. This inevitably raises questions concerning how far ordinary ideal theory needs to be modified if only homogeneous ideals are to be regarded as significant. In practice, one can usually answer any particular question of this type without undue difficulty when it arises but, it seems to the author, the topic has enough intrinsic interest to merit a connected discussion by itself.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1955