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The inverse limit of some free algebras

Published online by Cambridge University Press:  09 April 2009

A. L. Allen  and
S. Moran
A. L. Allen
Affiliation:
The University Canterbury, Kent, England
S. Moran
Affiliation:
The University Papua and New Guinea
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Let Ω[x1, x2, …, xn] denote the algebra of polynomials in variables x1, x2, …, xn with coefficients from a fixed field Ω of characteristic zero, where n = 1, 2,…. There exists a natural projection which maps xn onto 0 and all the other variables onto themselves, for n = 1, 2, …. This enables one to construct the corresponding inverse limit which we here denote by Ω[x]. The algebra Ω[x] has a natural degree function defined on it.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 2 , September 1973 , pp. 129 - 145
Copyright
Copyright © Australian Mathematical Society 1973

References

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