A note on the cancellation property of k[X, Y]

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

Full text not available from this repository.

Official URL: http://doi.org/10.1142/S0219498815400071

Related URL: http://dx.doi.org/10.1142/S0219498815400071


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

Repository Staff Only: item control page