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On the Endomorphisms of a Polynomial Ring

Published online by Cambridge University Press:  20 November 2018

John David
John David*
Affiliation:
Universidade Estadual de Campinas, Campinas, Brazil
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This paper arises in the attempt to solve the following problem related to the Zariski Problem. Let A be a polynomial ring in three variables over a field, . Suppose there is a subring B of A such that k ⊆ B and there is variable t over B such that B[t] = A. Then is it true that B is a polynomial ring over k?

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 1 , 01 February 1976 , pp. 9 - 18
Copyright
Copyright © Canadian Mathematical Society 1976

References

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