6 papers
On finite generation of Noetherian algebras over two-dimensional regular local rings
Amartya Kumar Dutta, Neena Gupta, Nobuharu Onoda
Let be a complete regular local ring with an algebraically closed residue field and let be a Noetherian -subalgebra of the polynomial ring . It has been shown in \…
A Note on Residual Variables of an Affine Fibration
Prosenjit Das, Amartya K. Dutta
In a recent paper [El 13], M.E. Kahoui has shown that if is a polynomial ring over , an -fibration over , and a residual variable of th…
Planes of the form over a DVR
Prosenjit Das, Amartya K. Dutta
In this paper we extend an epimorphism theorem of D. Wright to the case of discrete valuation rings. We will show that if is a discrete valuation ring, is an int…
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…
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…
On codimension-one -fibration with retraction
Prosenjit Das, Amartya K. Dutta
In this paper we prove some results on the sufficiency of codimension-one fibre conditions for a flat algebra with a retraction to be locally or at least an $\mathbb…