Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T19:49:10.505Z Has data issue: false hasContentIssue false
  • English
  • Français

The commutative ring of a finite projective plane

Published online by Cambridge University Press:  14 November 2011

Alan R. Prince
Alan R. Prince
Affiliation:
Department of Mathematics, Heriot-Watt University, Edinburgh, Scotland
Get access Rights & Permissions [Opens in a new window]

Synopsis

The ring of a finite projective plane, introduced by the author in a previous paper, is shown to be a Gorenstein ring. Its integral closure and conductor are also determined.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 101 , Issue 1-2 , 1985 , pp. 57 - 59
Copyright
Copyright © Royal Society of Edinburgh 1985

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.)

References

1Atiyah, M. F. and MacDonald, I. G.. Introduction to commutative algebra (Reading, Mass.: Addison-Wesley, 1969).Google Scholar
2Bass, H.. On the ubiquity of Gorenstein rings. Math. Z. 82 (1963), 8–28.CrossRefGoogle Scholar
3Bourbaki, N.. Commutative Algebra (Paris: Hermann, 1972).Google Scholar
4Kaplansky, I.. Commutative rings (Chicago: University of Chicago Press, 1974).Google Scholar
5Prince, A. R.. Local algebras and finite projective planes. Proc. Roy. Soc. Edinburgh Sect. A 96 (1984), 95–96.CrossRefGoogle Scholar
6Prince, A. R.. A commutative ring associated with any finite projective plane. J. Algebra, to appear.Google Scholar