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Local algebras and finite projective planes

Published online by Cambridge University Press:  14 November 2011

Alan R. Prince
Affiliation:
Department of Mathematics, Heriot–Watt University, Edinburgh EH14 4AS

Synopsis

An analogue of the group algebra of a finite group is defined for any finite projective plane, in the case where the characteristic of the scalar field divides the order of the plane.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1984

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References

1Atiyah, M.F. and MacDonald, I. G.. Introduction to commutative algebra (Reading, Mass.: Addison-Wesley, 1969).Google Scholar
2Hughes, D.R. and Piper, F. C.. Projective planes (Berlin: Springer, 1973).Google Scholar
3Kaplansky, I.. Commutative rings (Boston: Allyn and Bacon, 1970).Google Scholar