P. K. Sharma

activity

20072019

most citedA Graphical Representation of Rings via Automorphism Groups

2 citations · 3 across the 7 of their papers we have counts for

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math.AC2019

Powers Vs. Powers

Pramod K Sharma

Let $A \subset B$ be rings. An ideal $J \subset B$ is called power stable in $A$ if $J^{n} \cap A = (J \cap A)^{n}$ for all $n \geq 1$ . Further, $J$ is called ultimately power stable…

math.AC2018★ 1 cited

Structural results on lifting, orthogonality and finiteness of idempotents

Abolfazl Tarizadeh, Pramod K. Sharma

In this paper, using the canonical correspondence between the idempotents and clopens, we obtain several new results on lifting idempotents. The Zariski clopens of the maximal spec…

math.AC2010★ 2 cited

A Graphical Representation of Rings via Automorphism Groups

N. Mohan Kumar, Pramod K. Sharma

Let $R$ be a commutative ring with identity. We define a graph $Γ_{\aut}(R)$ on $R$ , with vertices elements of $R$ , such that any two distinct vertices $x, y$ are adjacent if and…

math.AC2007

Comments On " Orbits of automorphism groups of fields"

Pramod K. Sharma

Let $R$ be a commutative $k -$ algebra over a field $k$ . Assume $R$ is a noetherian, infinite, integral domain. The group of $k -$ automorphisms of $R$ ,i.e. $A u t_{k} (R)$ acts in a natural…

math.AC2007

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.

math.AC2007

On Power Stable Ideals

Pramod K. Sharma

We define the notion of a power stable ideal in a polynomial ring $R [X]$ over an integral domain $R$ . It is proved that a maximal ideal $χ$ $M$ in $R [X]$ is power stable if a…