Bhatwadekar, S. M. (1988) Generalized epimorphism theorem Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 98 (2-3). pp. 109-116. ISSN 0253-4142
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Official URL: http://www.ias.ac.in/j_archive/mathsci/98/2/109-11...
Related URL: http://dx.doi.org/10.1007/BF02863631
Abstract
Let R[X, Y] be a polynomial ring in two variables over a commutative ringR and let F∈ R[X, Y] such that R[X, Y]/(F)=R[Z] (a polynomial ring in one variable). In this set-up we prove that R[X, Y]= R[F, G] for some G ∈R[X, Y] if either R contains a field of characteristic zero or R is a seminormal domain of characteristic zero.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Indian Academy of Sciences. |
| Keywords: | Epimorphism Theorem; Polynomial Ring; Seminormal Domain; Characteristic Zero |
| ID Code: | 3219 |
| Deposited On: | 11 Oct 2010 09:57 |
| Last Modified: | 16 May 2016 14:04 |
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