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NUMERICAL FORMS

Published online by Cambridge University Press:  01 February 1997

J. R. HUBBUCK
J. R. HUBBUCK
Affiliation:
Department of Mathematical Sciences, University of Aberdeen, Dunbar Street, Aberdeen AB24 3PQ, UK
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Abstract

Let I be the graded ring of homogeneous rational polynomials in n-variables which are numerical over ℤ. Then I is a subring of Γ, the divided polynomial algebra over ℤ in the n-variables. A consequence of the main theorem is that for any positive integer k, the image of the induced homomorphism I[otimes ](ℤ/kℤ) → Γ [otimes ] (ℤ/kℤ) is a finite graded ring.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 55 , Issue 1 , February 1997 , pp. 65 - 75
Copyright
The London Mathematical Society 1997

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