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math.AC2023
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…
math.AC2023
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…