On residual variables and stably polynomial algebras
- S. M. Bhatwadekar, A. K. Dutta
- Mathematics
- 1993
Let R be a commutative noetherian ring and let R[X,Y] be a polynomial algebra in two variables over R. Let W be an element of R[X,Y]. In this paper we show that R[X,Y] is a stably polynomial algebra…
Kernel of locally nilpotent $R$-derivations of $R[X,Y]$
- S. M. Bhatwadekar, A. K. Dutta
- Mathematics
- 1 August 1997
In this paper we study the kernel of a non-zero locally nilpotent R-derivation of the polynomial ring R[ X, Y ] over a noetherian integral domain R containing a field of characteristic zero. We show…
A Note on Residual Variables of an Affine Fibration
- P. Das, A. K. Dutta
- Mathematics
- 1 October 2014
Mathematics in ancient India
- A. K. Dutta
- Mathematics
- 1 October 2002
In this series of articles, we intend to have a glimpse of some of the landmarks in ancient Indian mathematics with special emphasis on number theory. This issue features a brief overview of some of…
On A*-fibrations
- S. M. Bhatwadekar, A. K. Dutta
- Mathematics
- 15 May 2000
Some patching results on algebras over two-dimensional factorial domains
- A. K. Dutta, Neena B. Gupta, Nobuharu Onoda
- Mathematics
- 1 July 2012
Mathematics in ancient India
- A. K. Dutta
- Mathematics
- 1 November 2003
The epimorphism theorem and its generalizations
- A. K. Dutta, Neena B. Gupta
- Mathematics
- 10 July 2015
The celebrated "Epimorphism Theorem" opened up several directions of research. In this survey article we highlight the known partial results and open questions on (i) the epimorphism problem for…
Āryabhata and axial rotation of earth
- A. K. Dutta
- Physics
- 1 April 2006
In the first part of this series, we discussed the celestial sphere and Aryabhata’s principle of axial rotation; in this part we shall discuss in detail the concept of sidereal day and then mention…
On algebras which are locally $\mathbb{A}^{1}$ in codimension-one
- S. M. Bhatwadekar, A. K. Dutta, Nobuharu Onoda
- Mathematics
- 9 January 2013
Let R be a Noetherian normal domain. Call an R-algebra A “locally A1 in codimension-one” if RP ⊗R A is a polynomial ring in one variable over RP for every height-one prime ideal P in R. We shall…
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