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Comments On " Orbits of automorphism groups of fields"
Pramod K. Sharma
Let be a commutative algebra over a field . Assume is a noetherian, infinite, integral domain. The group of automorphisms of ,i.e. acts in a natural…
Some result on K-algebras
Pramod K. Sharma
We give a new proof of the classical result due to Rodney Y. Sharp and Peter Vamos on the dimension of tensor product of a finite number of field extensions of a given field.
On Power Stable Ideals
Pramod K. Sharma
We define the notion of a power stable ideal in a polynomial ring over an integral domain . It is proved that a maximal ideal in is power stable if a…
On Kuroda's proof of Hilbert's fourteenth problem in dimensions three and four
Pramod K. Sharma
We generalize [3, Lemma 2.2] and [4, Proposition 2.3] and deduce a positive result on Hilbert's fourteenth problem. Further, we give a relatively transparent and elementary proof o…