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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
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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

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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