Bhatwadekar, S. M. ; Gupta, Neena (2015) A note on the cancellation property of k[X, Y] Journal of Algebra and Its Applications, 14 (09). p. 1540007. ISSN 0219-4988
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Official URL: http://doi.org/10.1142/S0219498815400071
Related URL: http://dx.doi.org/10.1142/S0219498815400071
Abstract
In [On affine-ruled rational surfaces, Math. Ann.255(3) (1981) 287–302], Russell had proved that when k is a perfect field of positive characteristic, the polynomial ring k[X, Y] is cancellative. In this note, we shall show that this cancellation property holds even without the hypothesis that k is perfect.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to World Scientific Publishing Co Pte Ltd. |
| Keywords: | Polynomial Algebra; Cancellation Problem; Makar-Limanov Invariant. |
| ID Code: | 121179 |
| Deposited On: | 12 Jul 2021 10:51 |
| Last Modified: | 12 Jul 2021 10:51 |
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