3 papers
math.AC2019
A note on partial coordinate system in a polynomial ring
Animesh Lahiri
J. Berson, J. W. Bikker and A. van den Essen proved that for a non-zerodivisor in a commutative ring containing if the polynomials in $R[X_1,\dots,X…
math.AC2019
On Residual and Stable Coordinates
Amartya Kumar Dutta, Animesh Lahiri
In a recent paper, M. E. Kahoui and M. Ouali have proved that over an algebraically closed field of characteristic zero, residual coordinates in are one-s…
math.AC2018
On Separable $\A^2$ and $\A^3$-forms
Amartya Kumar Dutta, Neena Gupta, Animesh Lahiri
In this paper, we will prove that any $\A^3$-form over a field of characteristic zero is trivial provided it has a locally nilpotent derivation satisfying certain properties. W…