6 papers
On locally nilpotent derivations of polynomial algebra in three variables
Nikhilesh Dasgupta, Sergey Gaifullin
In this paper we investigate locally nilpotent derivations on the polynomial algebra in three variables over a field of characteristic zero. We introduce an iterating construction…
On image ideals of nice and quasi-nice derivations over a UFD
Nikhilesh Dasgupta, Animesh Lahiri
In this paper, for a field of characteristic zero and a finitely generated -algebra , we give a set of generators for the image ideals of irreducible nice and quasi-nice…
Isotropy subgroups of some almost rigid domains
Nikhilesh Dasgupta, Animesh Lahiri
In this paper, we study the isotropy subgroups of some almost rigid domains and give necessary and sufficient conditions for an automorphism to be in the isotropy subgroup.
Some results on retracts of polynomial rings
Sagnik Chakraborty, Nikhilesh Dasgupta, Amartya Kumar Dutta +1
In this paper, we first consider the relationship between a polynomial ring over a Noetherian domain and the ring of invariants of a -action on , when…
An algebraic characterization of the affine three space
Nikhilesh Dasgupta, Neena Gupta
In this paper we give algebraic characterizations of the affine -space and the affine -space over an algebraically closed field of characteristic zero, using a variant of the…
Nice derivations over principal ideal domains
Nikhilesh Dasgupta, Neena Gupta
In this paper we investigate to what extent the results of Z. Wang and D. Daigle on nice derivations of the polynomial ring in three variables over a field k of characteristic zero…